Two adjacent angles of a parallelogram are co-interior angles between a pair of parallel sides, so they are supplementary. If one angle of the parallelogram is (x + 20) deg and the adjacent angle is (2x - 5) deg, find the measure of the larger of these two angles.

Question

Accepted Answer

105. Adjacent angles of a parallelogram are supplementary: (x + 20) + (2x - 5) = 180, so 3x + 15 = 180, 3x = 165, x = 55. Angles are 75° and 105°; the larger is 105°.

Two adjacent angles of a parallelogram are co-interior angles between a pair of parallel sides, so they are supplementary.
If one angle of the parallelogram is $(x + 20)$ deg and the adjacent angle is $(2 x - 5)$ deg, find the measure of the larger of these two angles.

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More Class 9 Geometrical Terms and Definitions practice

Two adjacent angles of a parallelogram are co-interior angles between a pair of parallel sides, so they are supplementary.If one angle of the parallelogram is (x+20) deg and the adjacent angle is (2x−5) deg, find the measure of the larger of these two angles.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 Geometrical Terms and Definitions practice

Two adjacent angles of a parallelogram are co-interior angles between a pair of parallel sides, so they are supplementary.
If one angle of the parallelogram is $(x + 20)$ deg and the adjacent angle is $(2 x - 5)$ deg, find the measure of the larger of these two angles.