Question

(2a +15)°and (a +30)° are the measures of two supplementary angles .what is the measure of each angle?

Answer 1

Answer:

We know That , Sum of Supplementary angles is 180°.

Thus,

$(2a + 15) + (a + 30) = 180 \\ \\ 3a + 45 = 180 \\ a + 15 = 60 \\ a = 45.$

So, The a is 45.

First angle is 2a+15

$2a + 15 \\ 2 \times 45 + 15 \\ = 105$

second is a + 30

$a + 30 \\ 45 + 30 = 75$

So two angles are 105 and 75.