Question

EXAMPLE 7: If the adjacent angles of a parallelo-
gram are (2x – 5)º and (3x + 10), find the angles
of the parallelogram.​

Answer 1

In a parallelogram consecutive angles are supplementary and opposite angles are equal.

By the above property,

From the question,

(2x-5) + (3x+ 10) = 180

2x - 5 + 3x + 10 = 180

5x + 5 = 180

x + 1 = 180/5 = 36

x = 35

So one angle is (2×35 -5) = 70 - 5 = 65°

The other angle is ( 3×35 + 10) = 105 + 10 = 115°

So all the angles of parallelogram are

65°,115°,65° and 115°.

Thank u

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