Question

2. Among two supplementary angles the measure of the larger angle is 40
more than the
measure of the smaller. Find their measures​

Answer 1

Answer:

Step-by-step explanation:

Sum of supplementary angles= 180°

Measure of smaller angle= x°

Measure of larger angle= (x+40)°

⇒ x°+(x+40)°= 180°

= 2x+40°= 180°

= 2x= 180°- 40°

= 2x= 140°

= x°= 140°/2

= x°= 70°

Smaller angle= 70°

Larger angle= (x+40)°

= (70+40)°

= 110°

VERIFY:

70°+110°= 180°

180°= 180°

LHS= RHS

Hence, verified

Hope it helps you.

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