Math, asked by garima1233, 7 months ago

If an angle is half of its complement, find the measure of angles.​

Answers

Answered by prathana06
7

Let first angle be x and second will be 1/2 x

ATQ

X+1/2X=90°

2X+X/2=90°

3X=90×2

3X=180

X=180/3

X=60°

1/2X=1/2×60°

=30°

HENCE THE ANGLE WILL BE 30 AND 60

Answered by mohit810275133
7

Step-by-step explanation:

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HEY MATE ..

Sum of complementary angles = 90 °

Let on angle = x °

Then second angle = x / 2

x+ x /2 =90 ^

⇒ 3x / 2 =90 °

⇒3x=90 °∗2=180 °

⇒x=60 °

One angle = 60 °

and the other angle = 60 / 2 =30 °

Angles are 30 ° ,60 °

In order to find the required angle, we will use the property of complementary angle which states that two angles are complementary if and only if their sum is equal to 90 degrees. Hence, the required angle is 300.

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