an angle is 18c less than its complementary angle. the measure of this angle is

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An angle is 18^∘ less than its complementary angle. The measure of this angle is

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less than its complementary angle. The measure of this angle is

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Updated on : 2022-09-05

Solution Verified by Toppr

Correct option is A)

Step 1: Form equations using the concept of complementary angles.

Let, the smaller angle be x

∴Bigger angle (x+18 ∘ )

We know, the sum of complementary angles is 90

∘ ⇒x+(x+18 ∘ )=90 ∘ ⇒2x=90 ∘ −18 ∘ ⇒2x=72 ∘ ⇒x=36 ∘

Hence, the correct option is A.

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An angle is 14^0 more than its complementary angle. What is its measure?

An angle is 14^0 more than its complementary angle. What is its measure?

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An angle is 14^0 more than its...

An angle is 14 0 140

more than its complementary angle. What is its measure?

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Transcript

14° more than a complementary angle what is its measure angle and well as angle to the egg and now its complementary angle 90 - complementary angle of two angles is equal to 90 degree angle what is the given condition given condition is that it is 14 more greater 14 March Dainik complementary angle b is equal to 1914

72 that we have to

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यदि एक कोण अपने पूरक कोण से

14 ∘ 14∘

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14 ∘ 14∘

अधिक है। इस कोण की माप होगा -

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स्रोत : www.doubtnut.com

An angle is 20 less than its complementary. find its measure?

Answer (1 of 6): Complementry angles are those angles whose sum is 90. Let the angle be x so it’s complementry angle will be 90-x. Now x is 20 less than it’s comlementry angle so x=(90-x)-20 x=70-x 2x=70 x=35

An angle is 20 less than its complementary. find its measure?

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Sort Manish Pratap Singh

Lives in Agra, Uttar Pradesh, IndiaAuthor has 53 answers and 74.7K answer views3y

Complementry angles are those angles whose sum is 90.

Let the angle be x so it’s complementry angle will be 90-x. Now x is 20 less than it’s comlementry angle so

x=(90-x)-20 x=70-x 2x=70 x=35 Related questions

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Let the angle be X.

So its complement will be (90-X)

The angle is 20 less than its complementary, so

(90-X)-20=X 70=2X therefore X=35° Sponsored by USAFIS

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Vipin Kumar

Former Physics Faculty at FIITJEE (2012–2015)Author has 332 answers and 474.6K answer views3y

Hi there. Thanks for the A2A.

Complementary angles are those whose sum is 90°.

So, let the required angle be x, its complementary will be (90-x), then according to question

(90 - x) - x = 20 => 90 - 2x = 20 => 2x = 70 => x = 35° Hope it helps. Cheers ! Rahul Kumar Lives in India1y

Let two angles be x and (x - 20).

Then, x + (x - 20) = 90

2x - 20 = 90 x - 10 = 45 x = 55

Hence, measure of two angles are 55 and 35 degree.

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Rajeev Ranjan Knows Hindi3y

Let, x & y be the angles.

So,

x + y = 90 {as they are complementary}—(1)

Now , according to question….

y = x - 20 —————(2)

On harding equation (1) & (2) we ge..

x=55 & y=35

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HsBadarinath

Ph.D. in Civil Engineering. Maths keeps one mentally active.Author has 59.2K answers and 36.3M answer views3y

x + (x-20) = 90 2x = 90+20 = 110 x = 55

So one angle is 35 deg and the other is 55 deg and both are complementary to each other.

Hanna Kim 김한나

Studies Computer Science & Mathematics (Expected 2024)2y

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Two angles are complementary. The smaller angle is 24° less than the larger angle. What are the measures of both angles?

Complementary, means that two angles will add up to 90°.

So let’s set the larger angle as x.

That means the smaller angle must be x - 24°.

Now we add them! x + (x -24) =90

2x - 24 = 90 2x = 114

x = 57° → Larger Angle

90 - 57 = 33° → Smaller Angle

Palvi Vaid

M.SC [ MATHEMATICS] from University of Jammu,B.EdAuthor has 538 answers and 730.8K answer views11mo

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we can illustrate a diagram representing the time of 6 O’clock and observe that the minute hand and hour hand make a straight line, so we can directly say that the angle is angle is also called a straight angle.180∘ since it is a straight line. 180∘

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Two angles are complementary. One angle is 18 degrees greater than the other. What are the measures of the two angles?

Complimentary angles are two angles that sum up to 90 degrees.

Let the smaller angle be y degrees

Therefore, the larger angle = y + 18 degrees

To find the measure of the smaller angle:

y + y + 18 = 90 2y + 18 = 90 2y = 90 - 18 = 72

y = 72/2 = 36 degrees

To find the measure of the larger angle:

The larger angle = y + 18

y + 18 = 36 + 18 = 54 degrees

The measure of the smaller angle = 36 degrees

The measure of the larger angle = 54 degrees

Shruthi Student5y Related

If an angle is 30 degree more than one half of its complement, than what is the measure of that angle?

Originally Answered: If an angle is 30 degree more than one half of its complement than what is the measure of that angle?

Let the angle be x. Therefore, its complement = (90°–x)

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