In the above figure, m∠A = 30° and m∠B = (2x + 10)°. If angles A and B are complementary angles, what are the value of x and the measure of angle B?(2 points) Responses
Since angles A and B are complementary angles, their measures add up to 90 degrees.
Therefore,
30 + (2x + 10) = 90
Combine like terms:
2x + 40 = 90
Subtract 40 from both sides:
2x = 50
Divide both sides by 2:
x = 25
To find the measure of angle B, substitute the value of x back into the equation:
B = 2x + 10
= 2(25) + 10
= 50 + 10
= 60
Therefore, x = 25 and the measure of angle B is 60 degrees.