Question

If m angle A = (11x + 13)°, m angle B = (9x - 24)°, and angle A is a right angle, find the difference in the measures of the two angles.

Answer 1

51 degrees

Explanation:

m<A = 11x+13

m<B=9x-24

Right angle = 90 degrees

11x+13=90

11x=77

x=7

To find m<B:

plug in x:

9(7)-24

m<B=39 degrees

Difference in the two angles: m<A - m<B

= 90-39

51 degrees