Question

Angle A measures 4x + 40 degrees and angle B measures x – 10

degrees. If angles A and B are complementary, what is the
measure of angle B?

Answer 1

2°

Explanation:

Since, angles A and B are complementary.

Therefore,

`m\angle A + m\angle B = 90\degree \\\\</p><p>(4x +40)\degree + (x-10)\degree = 90\degree \\\\</p><p>(4x+x +40-10)\degree = 90\degree \\\\</p><p>(5x +30)\degree = 90\degree \\\\</p><p>5x + 30= 90\\\\</p><p>5x = 90 - 30\\\\</p><p>5x = 60\\\\</p><p>x = (60)/(5)\\\\</p><p>x = 12\\\\</p><p>m\angle B = (x-10)\degree \\\\</p><p></p><p>m\angle B = (112-10)\degree \\\\</p><p>m\angle B = 2\degree \\\\`