A figure with parallel lines m and n is shown below. What is the measure of angle b?

Question

asked Jan 21, 2022 51.3k views

1 Answer

Bjoster · Answer 1 · 2022-01-25T16:48:14+0000

Answer:

42°

Explanation:

Measures of the two interior angles of the triangle are b and 90°
Measure of the remaining interior angle of the triangle will be 48° by the property of first corresponding angles and then vertical angles.

$\therefore b + 48 \degree + 90 \degree = 180 \degree \\ b + 138 \degree = 180 \degree\\ b = 180 \degree - 138 \degree \\ b = 42 \degree$