Question

The measure of angle x is 25 more than 4 times the measure of its complement. Find the measure of x?

Answer 1

`x=77^@`

Explanation:

`"complementary angles sum to "90^@`

`"the complement of "x" is "(90-x)`

`"forming an equation and solving for "x`

`x" is 4 times the complement plus 25"`

`x=4(90-x)+25`

`x=360-4x+25`

`5x=385rArrx=385/5=77^@`

`color(blue)"As a check"`

`"the complement of "77^@" is "13^@" and "`

`4xx13+25=52+25=77larr" correct"`