Question

two adjacent angle of a angle of a parallelogram are in the ratio 4:5 the measure of the larger angle​

Answer 1

Answer:

100

Step-by-step explanation:

let common multiple be x.

( Adjacent angles of a parallelogram are supplementary)

4x + 5x = 180

9x = 180

x = 180/9

x = 20

Measure of larger angle = 5x = 5*20 = 100

Answer 2

Answer:

Solution

Verified by Toppr

Let A and B are two adjacent angles. But we know that sum of adjacent angles of a parallelogram is 180°

angle A + angle B = 180°

Given that adjacent angles of a parallelogram are in the ratio 4 : 5 and let

that ratio be multiple of x

angle A+ angle B = 180⁰

4x + 5x = 180⁰

9x = 180°

X = 180/9

X = 20⁰

angle A = 4x = 4× 20 = 80⁰

angle B = 5x = 5 × 20 = 100⁰ x

Also angle B + angle C = 180° [Since angle B and

angle C are adjacent angles]

100⁰ + angle C = 180⁰

Angle C = 180° - 100° = 80°

Now, angle C + angle D = 180

[Since C and tangle D are adjacent angles]

80° + angle D =180⁰

angle D = 180⁰ - 80⁰ = 100⁰