Question

Two adjacent angles of a parallelogram are in the ratio 5:4 find the measurement of each angle
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Answer 1

Answer:

80 , 100, 80, 100 this will be answer

Answer 2

Step-by-step explanation:

We have to consider the Ratio as a common multiple.

It means 5:4= 5 = 5x and 4= 4x

Now,

We know that the sum of two adjacent angles is 180°.

therefore,

5x + 4x = 180°

5 + 4 + x + x = 180°....( collected the like terms.)

9 + 2x = 180°

2x = 180°- 9 (transforming the like terms from L.H.S to R.H.S.)

2x= 171°

x= 171° / 2

(transforming the like terms and divided 2 .)

x= 85.5

Now,

consider the ratio.

5x = 5 × 85.5 = 427.5

4x= 4 × 85.5 =342.

hope it will help.....