Question

Lines l and m are parallel. When they are cut by the two transversals below, a triangle is formed.

Parallel lines l and m are intersected by lines s and t. A triangle has angles 1, 2, 40 degrees. The exterior angle to angle 1 is 74 degrees.

What is Measure of angle 2
34 degrees
40 degrees
74 degrees
146 degrees

Answer 1

34 its the right answer

Explanation:

Answer 2

<2 = 34degrees

Explanation:

Find the diagram attached below:

First we need to get <1;

<1 + 74 = 180 (angle on a straight line)

<1 = 180 - 74

<1 = 106degrees

Also, <1 + <2 + 40 = 180 (sum of angle in a triangle)

106+<2 + 40 = 180

146 + <2 = 180

<2 = 180-146

<2 = 34degrees