Answer:
C. ![m=102](https://tex.z-dn.net/?f=m%3D102)
Step-by-step explanation:
We have been given an image of two parallel lines crossed by a transversal. We are asked to find the measure of m.
We can see that angle that measure 78 degrees and angle m are consecutive interior angles.
Since we know that consecutive interior angles are supplementary, so we can set an equation to find the measure of m as:
![78^{\circ}+m^{\circ}=180^{\circ}](https://tex.z-dn.net/?f=78%5E%7B%5Ccirc%7D%2Bm%5E%7B%5Ccirc%7D%3D180%5E%7B%5Ccirc%7D)
![78^{\circ}-78^{\circ}+m^{\circ}=180^{\circ}-78^{\circ}](https://tex.z-dn.net/?f=78%5E%7B%5Ccirc%7D-78%5E%7B%5Ccirc%7D%2Bm%5E%7B%5Ccirc%7D%3D180%5E%7B%5Ccirc%7D-78%5E%7B%5Ccirc%7D)
![m^{\circ}=102^{\circ}](https://tex.z-dn.net/?f=m%5E%7B%5Ccirc%7D%3D102%5E%7B%5Ccirc%7D)
Therefore, the value of m is 102 and option C is the correct choice.
Answer:
Your answer would be D. 51
Step-by-step explanation:
Don't get mad if I am wrong. :)
m∠A + m∠B = 90, since the angles are complementary.
The question also tells us that m∠A = (2x + 10) and m∠B = (-x + 55)
So, all we have to do is input the angle's values into the first equation:
(2x+10) + (-x+55) = 90
Simplify:
x + 65 = 90
x = 25
Input the variable into the angles:
m∠A = 2(25) + 10 = 50 + 10 = <u>60°</u>
m∠B = -25 + 55 = <u>30°</u>