Question

Q. 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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Answer 1

Answer:

✬ 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° ★

\implies{\rm }⟹ x + y = 180°

\implies{\rm }⟹ 4y/5 + y = 180°

\implies{\rm }⟹ 4y + 5y/5 = 180°

\implies{\rm }⟹ 9y = 180° × 5

\implies{\rm }⟹ 9y = 900°

\implies{\rm }⟹ y = 900°/9

\implies{\rm }⟹ 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°.

Answer 2

Answer:

supplimentry means sum of 2 angle 180

Step-by-step explanation:

let one is 4/5x and other x/5

both of sum 180=x

so angle =180×4/5=36×4=144

other=36

thankyou have a nice day