Question

If the adjacent angles of a parallelogram is (2x+7)degree & (3x-2)degree. Find all the angles.

Answer 1

Answer:

77 , 103 , 77 , 103

Step-by-step explanation:

Sum of adjacent angle of parallelogram = 180

==: (2x + 7) + (3x - 2) = 180

==: 5x + 5 = 180

==: 5x = 175

==: x = 35

Angle = 2x + 7 = 77

          = 3x - 2 = 103

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Answer 2

Answer:

77°, 103°, 77° and 103°

Step-by-step explanation:

We know that the sum of adjacent Angles of a parallelogram is 180°

Hence

$2x + 7 + 3x - 2 = 180^{0} \\ 5x + 5 = {180}^{0} \\ 5x = 175 \\ x = 35^{0}$

Hence the angles are

$2 \times x + 7 = 2 \times 35 + 7 = 70 + 7 \\ = 77^{0}$

$3x - 2 = 105 - 2 = 103^{0}$