Question

what are the two angles are supplementary? One angle is 15 more than 10 times the other angle. find the measure of each angle

Answer 1

`15^@" and "165^@`

Explanation:

`"let the smaller angle "=x`

`"then the larger angle "=10x+15`

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

`rArrx+10x+15=180`

`rArr11x+15=180`

`"subtract 15 from both sides"`

`11xcancel(+15)cancel(-15)=180-15`

`rArr11x=165`

`"divide both sides by 11"`

`(cancel(11) x)/cancel(11)=165/11`

`rArrx=15`

`"the angles have measure"`

`x=15^@" and "(10xx15)+15=165^@`