Answer:
Angles 1 and the angle provided (88°) are supplementary meaning their angles with total 180°. Therefore m<1 +88=180
m<1=92
We can see that by the arrow on the 2 lines that they are parralel and paralel lines form congruent angles. Therefore, the m<64 will equal that of 3
m<3=64
Now, that we have the m<1 and the m<3 we know that the m<2 is 24
This is because the measure of the interior angles of any triangle add up to 180.
92+64+m<2=180
156+m<2=180
m<2=24
Now, we see that the m<3+m<4+81 will total 180°. the m<3 is 64 so:
64+81+m<4=180
145+m<4=180
m<4=35
Now, by using the rule that the measure of the interior angles of any triangle add up to 180 we see that the m<4+m<5+64=180
m<4=35
35+64+m<5=180
99+m<5=180
m<5=81
Step-by-step explanation:
