187,167 views
37 votes
37 votes
In this figure, AB || CD and m/1 = 110°

A
1/2 B
4 3
What is mZ5?
5/6
8 7

User Alexandru Furculita
by
3.1k points

1 Answer

15 votes
15 votes

Answer is 105 degrees.

Step-by-step explanation:

Given two parallel lines AB and CD and a transversal cutting the two lines.

We know that when a transversal cuts two parallel line,

i) corresponding angles would be equal

ii) Interior angles total to 180

iii) alternate angles are equal.

In the picture given we have corresponding angles as

(2,6) . Hence angle 2 = angle 6.

Angle 6 = 75 (given)

Hence angle 2 =75.

Angles 1 and 2 are supplementary because they form a linear pair.

Hence angle 1 = 180-75

Angle 1 =105

User Heather Roberts
by
2.8k points