Angles A and B are complementary to each other. If m∠A = 23° and m∠B = (4x + 15)°, find the value of x.
a) x = 2
b) x = 13
c) x = 35.5
d) x = 67
Since angles A and B are complementary, their sum is 90 degrees.
Therefore, we can write the equation:
23 + (4x + 15) = 90
Simplifying the equation, we get:
4x + 38 = 90
Subtracting 38 from both sides:
4x = 52
Dividing both sides by 4:
x = 13
Therefore, the value of x is 13.
The answer is option b) x = 13.