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?
If angles A and B are complementary, it means that their sum is equal to 90 degrees.
So, we have:
30 + (2x + 10) = 90
Simplifying the equation:
2x + 40 = 90
Subtracting 40 from both sides:
2x = 50
Dividing both sides by 2:
x = 25
Now that we have the value of x, we can substitute it back into the equation to find the measure of angle B:
m∠B = (2x + 10)°
m∠B = (2*25 + 10)°
m∠B = 60°
Therefore, the value of x is 25 and the measure of angle B is 60 degrees.