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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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What are the solutions of the equation<br> x^2 - 30 = x?
sashaice [31]

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Move  x   to the left side of the equation by subtracting it from both sides.  x^ 2 − 30 − x = 0

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Use the quadratic formula to find the solutions. − b ± √ b 2 − 4 ( a c )/ 2 a  

-b±b2-4(ac)/2a  

Substitute the values  

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