Question

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?

Answer 1

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°.