Question

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

Answer 1

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`