Answer:
m<5 = 133°
m<8 = 47°
Step-by-step explanation:
if <2 = 47°, and <5 is supplementary to <2, that means that together they both have to equal 180°. So, to get the measure of <5, you need to do 180 - 47 to get <5 = 133°.
Now, <5 (133°) is supplementary to <8, so they both have to equal 180° together. So, you must do 180 - 133 to get <8 = 47°. Or, another way to get <8 is to notice that <2 and <8 are alternate interior angles, which means they equal the same amount. So if <2 = 47°, then so does <8.
