m∠A = 20° and m∠B = (2x + 12)°. If angles A and B are complementary angles, what are the value of x and the measure of angle B?
Since angles A and B are complementary, we have:
m∠A + m∠B = 90°
Substitute the given angles into the equation:
20° + (2x + 12)° = 90°
Simplify the equation:
2x + 32 = 70
2x = 38
x = 19
Now substitute x back into m∠B:
m∠B = 2(19) + 12 = 38 + 12 = 50
Therefore, the value of x is 19 and the measure of angle B is 50°.
Nope.
I apologize for the mistake. Let's correct that.
Since angles A and B are complementary, we have:
m∠A + m∠B = 90°
Substitute the given angles into the equation:
20° + (2x + 12)° = 90°
Simplify the equation:
2x + 32 = 90
2x = 58
x = 29
Now substitute x back into m∠B:
m∠B = 2(29) + 12 = 58 + 12 = 70
Therefore, the value of x is 29 and the measure of angle B is 70°.