Question

The sum of the measure of the first angle and half the second angle is 88 degrees. The angles are complementary. How do you find the measures of the angles?

Answer 1

`86^@" and "4^@`

Explanation:

`• " complementary angles have a sum of "90^@`

`"let the angles be "x" and "y`

`rArrx+y=90to(1)" and"`

`x+1/2y=88to(2)`

`"subtract "(2)" from "(1)" term by term"`

`(x-x)+(y-1/2y)=(90-88)`

`rArr1/2y=2rArry=4`

`"substitute "y=4" into equation "(1)`

`x+4=90rArrx=90-4=86`

`"the measure of each angle is "86^@" and "4^@`

`color(blue)"As a check"`

`86+4=90^@" and "86+2=88^@`