Answer:
m∠3 = 112° m∠5 = 38° m∠6 = 68° m∠8 = 74°
You do the others
Step-by-step explanation:
Facts you need to solve this problem.
1. Vertical angles are congruent
2. Alternate interior angles are congruent when lines are parallel
3. Sum of the measures of the angles of a triangle is 180
4. Adjacent angles are supplementary when two lines intersect
m∠3 = 112° (Reason 1 above)
m∠6 = 180 - 112 = 68° (Reason 4)
m∠6 + m∠5 + 74 = 180° (Reason 3)
68 + m∠5 + 74 = 180
142 + m∠5 = 180
m∠5 = 38°
m∠8 = 74° (Reason 2)
That gives you a start, so I will let you find all the others. OK? I know you don't want to do that, but you need to be able to do this type of problem. Now, go for it!!
