Q1.Two supplementary angles are such that the measure of one angle is 4/5 of the measure of the other anglw .Find the measure of the angles?
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Explanation:
✬ 1st Angle = 100° ✬
✬ 2nd Angle = 80° ✬
Step-by-step explanation:
Given:
- There are two supplementary angles.
- Measure of one angle is 4/5 times of another one.
To Find:
- What is the measure of both angles ?
Solution: Let the two angles be x and y. Where
➟ x = 4/5 times of y
➟ x = 4/5 × y
➟ x = 4y/5ㅤㅤㅤㅤㅤeqⁿ i
As we know that ,
★ Sum of Supplementary angles = 180° ★
⟹ x + y = 180°
⟹ 4y/5 + y = 180°
⟹ 4y + 5y/5 = 180°
⟹ 9y = 180° × 5
⟹ 9y = 900°
⟹ y = 900°/9
⟹ y = 100°
So the measure of one angle is 100° and of other is -
➫ x = 4/5 × 100
➫ x = 4 × 20
➫ x = 80°
Hence, two angles are of 100° and 80°.
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