Question

Supplementary angles are in the ratio of 3 to 2. What is the measure of the larger angle?

Answer 1

let the angle be x

therefore x+2x= 180 (supplementary angles is equal to 180 degree

3x =180

x=180/3

x=60

and now

2x=60 ×2

=120

3x= 60 × 3

= 180

Answer 2

Given-

Ratio of the Angles=3:2

Type of Angle = Supplementary

Let the commom multiple of both the angles be 'x'

Thereafter we get,

3x+2x=180°

5x=180°

x= 180°/5

x= 36°

Now, lets find the Greatest Angle

So we multiply the ratios with common multiple which is 36°

Hence,

2x = 2×36

= 72°

3x = 3×36

=108°

#Therefore the measure of the greatest angle = 108°

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