Angles A and B are complementary to each other. If m∠A = 41° and m∠B = (2x + 19)°, find the value of x.
a x = 15
b x = 11
c x = 58
d x = 30
Since angles A and B are complementary, their sum is equal to 90 degrees. We can set up an equation to solve for x:
41 + (2x + 19) = 90
Now we can solve for x:
41 + 2x + 19 = 90
60 + 2x = 90
Subtracting 60 from both sides:
2x = 30
Dividing by 2:
x = 15
The value of x is 15, so the correct answer is:
a) x = 15