Question

among two supplementary angles the measure of the larger angle is 36more than the measure of the smaller find their measure

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Answer 1

Answer:

Step-by-step explanation:

x + x + 36 = 180

2x = 144

x = 72

72 and 108

Answer 2

Given :

• the measure of the larger angle is 36 more than the measure of the smaller angle.

To find :

• their measure

Solution :

⇒ Let's find their measures. Let the measure of angle be x.

• Sum of supplementary angles = 180°

⇒ Creating equation.

→ x + x + 36 = 180°

→ 2x + 36 = 180°

→ 2x = 180° - 36

→ 2x = 144

→ x = 144/2

→ x = 72

∴ x = 72

⇒ The angles are :

→ Smaller angle = x

= 72°

→ Larger angle = x + 36

= 72° + 36

= 108°

• Therefore, the angles are 72° and 108°.