Question

Angle M and angle N are complementary angles. The measure of angle M is (2x + 34)°. The measure of angle N is (6x)°. What is the value of x?

a) x = 8
b) x = 4
c) x = 6
d) x = 10

Answer 1

The value of x is 7.

Step-by-step explanation:

To find the value of x, we set up an equation using the fact that angle M and angle N are complementary: (2x + 34) + (6x) = 90.

Expanding the equation, we get 8x + 34 = 90.

Subtracting 34 from both sides, we have 8x = 56.

Dividing both sides by 8, we find that x = 7. Therefore, the correct answer is x = 7.