Question

among two supplementary angles, the measure of the larger angle is 36° more than the measure of the smaller. Find their measures.
please answer friends it is urgent.​

Answer 1

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

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