Math, asked by ratandey1810, 1 month ago

Among two supplementary angles the measure of the larger angle is 44° more than the measure of the smaller.Find the measures.



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Answers

Answered by ASHNIMATOR
2

Answer:

Answer:

★ Smaller Angle = 68° ★

★ Larger Angle = 112° ★

Step-by-step explanation:

Given:

Among two supplementary angles measure of larger angle is 44° more than the smaller angle.

To Find:

What are the measures of two angles?

Solution: Let the smaller angle be x°

∴ Larger angle = x + 44°

★ We know that the measure of supplemantry angles are of 180° ★

x + (x + 44) = 180°

2x + 44 = 180°

2x = 180 – 44

2x = 136°

x = 136/2

x = 68°

Hence, Measure of smaller angle = x = 68° and measure of larger angle = x + 44 = 68 + 44 = 112°

______________

★ Check ★

→ Smaller angle + Larger angle = 180°

→ 68 + 112 = 180

→ 180° = 180° LHS = RHS.

HOPE IT HELPS YOU MATE.

Answered by bindupatel81
2
Hey here is ur answer. Hope it helps
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