Find the measures of the supplementary angles if their measures are in ratio of 2: 3 me ! im new here and i need with my hw

Two supplementary angles are 72° and 108° .

Step-by-step explanation:

we have given the measure of ratio of two angles is 2:3.

Let the two angles be 2x and 3x.

We know the sum of supplementary angle is 180°

Therefore,

2x + 3x = 180°

or 5x = 180°

or x = 180°/5

or x =36°

Hence, the first angle = 2x =2×36 = 72°

And Second angle = 3x = 3×36 = 108°