Question

Sign.
1. Two supplementary angles.
are in the ratio of 3.2. Find the angles.​

Answer 1

The supplementary angles are in the ratio 3:2,

so let us depict the angles as 3x⁰,2x⁰

As per property , when two angles are supplementary they add up to 180⁰

3x⁰ + 2x⁰ =180⁰

5x⁰ = 180⁰

= x = $\sf{\cancel\dfrac{180⁰}{5⁰}}$

x⁰ = 36⁰,

Angle 1= 3x⁰ = 3× 36⁰=108⁰

Angle 2= 2x⁰=2×36⁰=72⁰