Question

How do you find the angle for 2?

Answer 1

m<2 = 130°

Explanation:

m<1 + m<2 = 180° (angles on a straight line/linear pair theorem)

First, we need to find m<2.

m<1 + 90° + 40° = 180° (sum of triangle)

Add like terms

m<1 + 130 = 180

Subtract 130 from each side

m<1 = 180 - 130

m<1 = 50°

Thus:

50° + m<2 = 180°

Subtract 50° from each side

m<2 = 180 - 50

m<2 = 130°