Prakash A. answered 05/29/21
Help to Understand Math Better
Remember that vertical angles are equal to 180 degrees. You solve each equation like a one step equation. You have equal each equation to 90 degrees. Then you solve to for x.

Johany G.
asked 05/27/21Angle 3 and Angle 5 are vertical angles. The measure of Angle 3 is (12x - 5). The measure of Angle 5 is (10x + 15). What is the measure of each angle?
Prakash A. answered 05/29/21
Help to Understand Math Better
Remember that vertical angles are equal to 180 degrees. You solve each equation like a one step equation. You have equal each equation to 90 degrees. Then you solve to for x.
Philip P. answered 05/27/21
Affordable, Experienced, and Patient Geometry Tutor
Vertical angles are congruent, so they have equal measures. So set them equal to one another and solve for x. Plug the value of x you get back into the equation for each angle to get the measures. If you did it right, they'll have the same measure. Don't forget the units - degrees!
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Philip P.
I think you're confusing vertical angles with supplementary angles. Supplementary angles sum to 180 degrees; vertical angles are congruent. The angle adjacent to a vertical angle is supplementary and is vertical to the angle opposite it.06/02/21