Question

Two adjacent angle of parallelogram are (4x - 15) and (5x - 3)'.Find the measure of all angles of the parallelogram.​

Answer 1

Answer:

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★Angles : 73° , 107° , 73° , 107

Given

• Two adjacent angle of parallelogram are (4x- 15) and (5x - 3).

To find

• Find the measure of all angles of the parallelogram.

Solution

★We know that

• The sum of adjacent angles of parallelogram is 180

★so

• 4x-15+5x-3 = 180

• 9x -18 = 180

• 9(x-2) = 180

• x-2 = 20

• x = 22

★As opposite angles of parallelogram are equal

so all angles are

• 4x-15 = 4(22) - 15

• = 73

★&

• 5x-3 = 5(22)-3

• = 107

★so all angles are

• 73° , 107° , 73° , 107°

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Answer 2

Step-by-step explanation:

2 ( 4x-15) + 2(5x-3) = 360 ( because sum of all the angles in a parallelogram is 360)

solving this ,

we get x = 22

Put this value in the two angles provided in the question. The four angles of the parallelogram are 107 , 73 and 73

Hope it helps you

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