Question

Given the angles (2x-20)° and 90°, find the value of x for which the angles are perpendicular.

a) x = 55
b) x = 60
c) x = 65
d) x = 70

Answer 1

To find the value of x for which the angles (2x-20)° and 90° are perpendicular, set the two angles equal to each other and solve for x. The value of x is 10, so the correct answer is a) x = 55.

Step-by-step explanation:

To find the value of x for which the angles (2x-20)° and 90° are perpendicular, we need to set the two angles equal to each other. Since perpendicular angles have a sum of 90°, we can write the equation (2x-20)° + 90° = 90°. Now, solve for x:

(2x-20)° + 90° = 90°

2x - 20 = 0

2x = 20

x = 10

Therefore, the value of x for which the angles (2x-20)° and 90° are perpendicular is x = 10. This means that the correct answer is a) x = 55.