SOLUTION: Whats the answer?

Algebra ->  Geometry-proofs -> SOLUTION: Whats the answer?      Log On


   



Question 108131: Whats the answer?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
I hope you need this:
Find the measure of the exterior angle shown; interior angles are 90degrees and x-degrees, and exterior angle is 2x+%96+21%29-degrees
Here is the theorem for exterior angles, and we will use it in order to solve this problem:
Exterior Angle Theorem
The measure of an exterior angle of a triangle
is equal to the sum of the measures of the
two nonadjacent interior angles.
m%3C1+=+m%3CA+%2B+m%3CB

so, in your case will be:
2x+-21=x+%2B+90....move x to the left, and -21 to the right
2x+-+x=90%2B+21....
+x+=+111-degrees