Question

Angles ABC and CBD are supplementary. Angle CBD is 6 degrees more than twice the measure of angle ABC. What is the measurement of each angle?

Answer 1

`angleABC=58^@" and "angleCBD=122^@`

Explanation:

`• " supplementary angles sum to "180^@`

`"let "angleABC=x`

`"then "angleCBD=2x+6`

`rArrx+2x+6=180larrcolor(blue)"solve for x"`

`rArr3x=174rArrx=174/3=58`

`rArrangleABC=58^@`

`"and "angleCBD=(2xx58)+6=122^@`