SOLUTION: solve exterior angle 3x - 22 = 80 + x

Algebra ->  Angles -> SOLUTION: solve exterior angle 3x - 22 = 80 + x       Log On


   



Question 921051: solve exterior angle 3x - 22 = 80 + x
Answer by MathLover1(20855) About Me  (Show Source):
You can put this solution on YOUR website!
Exterior Angle Theorem
The measure of an exterior angle (for example: w) of a triangle equals to the sum of the measures of the two remote interior angles (for example: x and y) of the triangle.

if 3x+-+22+ represents the exterior angle of the triangle and 80+%2B+x+ the sum of remote interior angles, then you have
3x+-+22+=+80+%2B+x+ ......solve for x
3x+-+x+=+80+%2B+22+
2x+=+102+
x+=+102%2F2+
x+=+51+......find exterior angle
Remember that "x" is not the answer here. We need the angles themselves, which are calculated as 3x+-+22+, 80, and x.
The angles, then, are:
3x+-+22+=>3%2A51+-+22+=>153-+22+=>highlight%28131%29+-highlight%28exterior%29 angle
80 and 51 remote interior angles