Question

if x degree and Y degree be the measure of two complementary angles such that 2x = 3 Y then X equals?​

Answer 1

Step-by-step explanation:

ATQ

x and y are two complementary angles hence

x+y = 90

so,

x = 90-y........ I

and 2x = 3y

put x = 90-y

we get

180-2y = 3y

180 = 5y

y = 36

so,

x = 54 ans

Answer 2

Given:

2X=3Y

To find:

The value of X

Solution:

The value of X is 54°.

We can find the value by following the given steps-

We know that X and Y are the measures of two complementary angles.

So, the sum of the angles X and Y will be equal to 90°.

X+Y=90° (1)

We are given that 2X=3Y.

2X/3=Y

We will substitute the value of Y in (1) to find the value of X.

X+Y=90

X+2X/3=90

3X/3+2X/3=90

(3X+2X)/3=90

5X/3=90

5x=90×3

5X=270

X=270/5

X=54

The measure of angle X is 54°.

Therefore, the value of X is 54°.