<6 and 4 are supplementary angles. Supplementary angles add up to 180. therefore <6 and <4=180--->m<6=65---->180-65=115---> m<4-115
2. 115°
By using vertical angles theorem we see that angles opposite to each other like 5 and 8 are congruent.
Therefore m<8 = m<5
3. 122
<3 and <6 are congruent by the alternate interior angles theorem which states that interior angles that are opposite one another such as 6 and 3 are congruent.
4. 73°
<4 and <7 are supplementary since the <4 is equal to the <8 and the <8 is supplementary to 7.