Question

L and M are complementary, L = 2x + 25, and M = 4x + 11. Determine the measure of each angle.

L =
M=
HELP

Answer 1

`L = 43` and
`M = 47`

Explanation:

Given

`L = 2x + 25`

`M = 4x + 11`

Required

Determine the values of L and M

Since L and M are complementary, we have that

`L + M = 90`

Substitute values for L and M

`2x + 25 + 4x + 11 = 90`

Collect Like Terms

`2x + 4x = 90 - 11 - 25`

`6x = 54`

Divide both sides by 6

`x = (54)/(6)`

`x = 9`

Substitute 9 for x in the expressions of L and M

`L = 2x + 25`

`L = 2 * 9 + 25`

`L = 18 + 25`

`L = 43`

`M = 4x + 11`

`M = 4 * 9 + 11`

`M = 36 + 11`

`M = 47`