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Anni [7]
3 years ago
10

Given that lines a and b are parallel and that m∠2 = 68°, find m∠5

Mathematics
1 answer:
Flura [38]3 years ago
3 0

Answer: 112 degrees

Step-by-step explanation: In this problem, we are trying to find the m<5.

Notice that <2 and <3 are vertical angles which means they are congruent.

So we know that the m<3 is 68 degrees.

Now, notice that <3 and <5 are same side interior angles because

they lie on the same side of the transversal and on interior of lines a and b.

Now, it's important to understand that

same side interior angles are supplementary.

So we can setup the equation 68 + m<5 = 180.

Subtracting 68 from both sides, we have the m<5 = 112.

So the m<5 is 112 degrees.

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=> <span>m∠2 = 2x +13
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Since YP angle bisector the angles with be equal to each other,
</span>
m∠1 = <span>m∠2
2x + 13 = 4x - 1
2x - 4x = -1 -13
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