Question

two supplementory angles are such that two times the measures of one is equal to the three times the other . find the measures of each angle​

Answer 1

Answer:

In this question,we should form an equation.

Step-by-step explanation

Given-

2x=3y

where x and y are angles on a straight line= 180 degrees.

We can find the equations for both the angles in terms of x.

y=y

x=3y/2

Now we know that both angles add up to 180 degrees.

y+3y/2=180

2y/2+3y/2=180

5y/2=180

5y=360

y=360/5

y=72.

then angles x= 180-72=108 degrees.

hope it helps!

Answer 2

Step-by-step explanation:

Let one angle = x

So, second angle = 3x (Given)

Now , 2x = 3y

x = 3y/2

y + 3y/2 = 180°

5y/2 = 180°

y = 72°

x = 180 - 72 = 108°

So , the angles are 72° and 108°

CHECK :-

Now , adding up the angles ,we get ,

72° + 108° = 180°

180° = 180°

So , the angles are 108° and 72°

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Know more :-

Supplementary angles are the angles whose sum is 180°

Complementary angles are the angles whose sum is 90°