Answer:
m∠6 = 42° m∠7 = 138
Step-by-step explanation:
Since we have the measure of angle 4, using the rule of verticle opposites, this means that the opposites are the same. so 4 = 2, and 6 = 8, and 1 = 3, and 5 = 7.
And since there is also the rule of same side correspondence, this means 4 = 8, and 6 = 2.
This means that since 4 = 42°, and 4 = 2, and 2 = 6, then m∠6 = 42°
and since 7 is opposite of 6 on a straight line, you can subtract 42 from 180 degrees to get the degree of 7.
180 - 42 = 138
so m∠7 = 138°
