Question

Angles M and N are complementary. The measure of angle M = (6x) and the measure of angle N = (2x + 10). What is the value of x?

Answer 1

To find the value of x when angles M and N are complementary, we use the fact that complementary angles add up to 90 degrees.

Given:

Angle M = 6x

Angle N = 2x + 10

Since angles M and N are complementary:

6x + 2x + 10 = 90

Combining like terms:

8x + 10 = 90

Subtracting 10 from both sides:

8x = 80

Dividing by 8 to solve for x:

x = 10

Therefore, the value of x is 10.

Answer 2

Answer:

x = 10

Step-by-step explanation:

6x + 2x + 10 = 90

8x + 10 = 90

-10 -10

8x = 80

8x/8 = 80/8

x = 10