# Geometry All Around Us

### By: Paige Copenhaver

## Answers

#1: x=50 and y=130

#2 2= 110 and 3=70 and 4=110

#3 1 interior angle=135 and 1 exterior angle= 45

#4 SSS can be used to prove the two triangles congruent

#5 This triangle is not possible because 7+11 is not 28. The two smaller sides must add up to more than the longest side, or it is not a triangle. This triangle does not meet the requirements.

#6 Alternate exterior angles

#7 HL can be used to prove the two triangles congruent

#8 angle 2=113, angle 3=67, angle 4=113, angle 5=67, angle 6=113, angle 7=67, angle 8=113, angle 9=67, angle 10=113, angle 11=67, angle 12=113, angle 13=67, angle 14=113, angle 15=67, angle 16=113

#9 x=48 This triangle is an isosceles triangle because two of the angles are congruent.

#10 ASA because of the alternate interior angles, the sides, and then the vertical angles.