Question

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

Answer 1

Answer:

2°

Step-by-step explanation:

Since, angles A and B are complementary.

Therefore,

$m\angle A + m\angle B = 90\degree \\\\(4x +40)\degree + (x-10)\degree = 90\degree \\\\(4x+x +40-10)\degree = 90\degree \\\\(5x +30)\degree = 90\degree \\\\5x + 30= 90\\\\5x = 90 - 30\\\\5x = 60\\\\x = \frac{60}{5}\\\\x = 12\\\\m\angle B = (x-10)\degree \\\\m\angle B = (112-10)\degree \\\\m\angle B = 2\degree$