Question

If the measure of one complementary angle is 30° more than twice the other angle measure, writean equation and find the measure of each angle.

Answer 1

For this problem we kow that the measure of one complementary angle is 30º more than twice the other angle measure

If our original angle is xthe complement would be 90-xº. then using the statement we can write the following equation:

`x=2(30+90-x)`

And from this equation we can solve for x like this:

`x=240-2x`

Adding 2x in both sides we got:

`3x=240`

And dividing both sides by 3 we got:

`x=(240)/(3)=80º`

And the final answer for this case would be 80º