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Yakvenalex [24]
2 years ago
12

Find m∠2. pls help!!!

Mathematics
1 answer:
netineya [11]2 years ago
6 0
<h3>Answer: 130</h3>

Explanation:

The green and red angles are alternate exterior angles. They alternate on either side of the transversal line. They are exterior because they are outside the parallel lines (think of the interior region as a river and the exterior regions as the shorelines).

Recall that alternate exterior angles are congruent when we have parallel lines. This is similar to how alternate interior angles are congruent due to parallel lines.

Since the angles shown are congruent, this must mean angle 2 is also 130 degrees.

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URGENT HELP YALL WITH THIS. I WILL MARK YOU BRAINLIEST
Reptile [31]

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(9x + 17) +2 \times  ( 5x + 15 ) + (6x - 12) = 360 \\

9x + 17 + 10x + 30 + 6x - 12 = 360 \\

9x + 10x + 6x + 17 + 30 - 12 = 360 \\

Collect like terms

25x + 35 = 360

Subtract sides 35

25x + 35 - 35 = 360 - 35

25x = 325

Divide sides by 25

\frac{25x}{25}  =  \frac{325}{25}  \\

x = 13

Thus ;

RQ  \:  \: arc =2 \times (5x + 15)

RQ  \:  \: arc = 10x + 30

RQ  \:  \: arc = 10(13) + 30

RQ  \:  \: arc = 130 + 30

RQ \:  \:  arc = 160°

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