Question

Measures of two adjacent angles of a parallelogram are in ratio 4:5. Find the angles. Dont spam. Plz read question correctly​

Answer 1

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A parallelogram, being a quadrilateral has four interior angles. The neighbouring angles here are consecutive angles. A diagonal splits a vertex angle into the two; those are the adjacent angles.

Two consecutive angles are supplements; one acute, the other obtuse.

By data, they are in the ratio of 4:5 = 4x:5x.

So, 4x+5x = 180°

9x = 180°

x = 20°

4x = 80° and 5x = 100°

Hence, the consecutive angles in the parallelogram are 80° and 100°....

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Answer 2

Answer:

sum of the adjacent angles in any parallelogram= 180

ratio of adjacent angles = 4:5 (given)

let first angle = 4x

second angle = 5x

4x+5x=180

9x=180

x=180/9

x= 20

therefore

required angles are

first angle = 4x= 4*20 =80

second angle = 5x= 5*20 =100