Math, asked by piyysh15, 1 year ago

two opposite angles of a parallelogram are 6x - 17 degree and x + 63 degree. Find the measure of each angle of the parallelogram.

Answers

Answered by shadmoopan
38

6x-17=x+63

5x=90

x=18

bye


Answered by wifilethbridge
59

Answer:

The measure of each angle of the parallelogram is 70°

Step-by-step explanation:

Given : Two opposite angles of a parallelogram are 6x - 17 degree and x + 63 degree.

To Find : Find the measure of each angle of the parallelogram.

Solution :

Two opposite angles of a parallelogram are(6x-17)^{\circ}and (x+63)^{\circ} degree.

Property of parallelogram : Opposite angles of parallelogram are equal .

So, (6x-17)^{\circ}=(x+63)^{\circ}

6x-x=63+17

5x=80

x=16

So, 6x-17=6(16)-17= 79

x+63=16+63=79

Hence the measure of each angle of the parallelogram is 70°

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