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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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.
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Hey here is ur answer. Hope it helps
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