Find the measure of each missing angle.

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: