Math, asked by SivaniStudies, 7 months ago

Two opposite angles of a parallelogram are (5x-8)° and (2x+82)°. Find the measures of each angle of the parallelogram.

Answers

Answered by champion85
12

Answer:

Opposite angles of a parallelogram are equal.

One angle is 5x-8°

Second angle is 2x+82°

measure of each angle=

5x-8 = 2x+82° (opp angles are equal)

5x-2x = 82+8

3x = 90

x = 90/3

x = 30

Therefore: first angle = 5x-8° = 5(30)-8° = 142°

second angle = 2x+82° = 2(30)+82° = 142°

Thus opposite angles r equal (142° = 142°)

Adjacent angles are supplementary.

So let the adjacent angles be x

x+142°=180(adjacent angles r supplementary)

x=180-142°= 38°

So opposite angle of x will also be equal as opposite angles r equal. So another angle will also be 38°

Angles of parallelogram are 38°,38°,142°,142°

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Answered by Neevbhavsar
2

Answer:

Opposite angles of a parallelogram are equal.

One angle is 5x-8°

Second angle is 2x+82°

measure of each angle=

5x-8 = 2x+82° (opp angles are equal)

5x-2x = 82+8

3x = 90

x = 90/3

x = 30

Therefore: first angle = 5x-8° = 5(30)-8° = 142°

second angle = 2x+82° = 2(30)+82° = 142°

Step-by-step explanation:

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