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Find the value of x. Then find the measure of each labeled angle

Find the value of x. Then find the measure of each labeled angle-example-1
User Jul
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2.1k points

2 Answers

25 votes
25 votes

Answer:

x = 12

9x = 108º

6x = 72º

Explanation:

The angles sum to 180º

9x + 6x = 180

15x = 180

x = 12

9x = 9 * 12 = 108

6x = 6 * 12 = 72

User Mark Fox
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2.7k points
25 votes
25 votes

In the given parallelogram, we can see that 9x° & 6x° are adjacent angles. 2 adjacent angles in a parallelogram sum up to 180°. So,

9x° + 6x° = 180°

15x° = 180°

x = 180/15

x = 12

Now,

6x° = 6 × 12 = 72°

9x° = 9 × 12 = 108°.

=》The value of 'x' is 12 & the measure of each labelled angle is 72° & 108°.

________

Hope it helps ⚜

Find the value of x. Then find the measure of each labeled angle-example-1
User Clayton Stanley
by
3.0k points