Question

3. Among two supplementary angles, the measure of the larger angle is 36° more than the
measure of the smaller. Find their measures.​

Answer 1

Answer:

Let us assume supplementary be x

∘

and (180−x)

∘

From the question,

The measure of the larger angle is 36

∘

more than the measure of the smaller angle, let the larger angle be x

∘

.

Then,

⟹(180−x)+36=x

⟹216−x=x

⟹216=x+x

⟹216=2x

⟹x=216/2

⟹x=108

Larger angle =108

∘

Smaller angle =(108−36)

∘

=72