Answer: x = 11
Step-by-step explanation:
NOTES: Congruent sides mean congruent angles
Linear Pair = 180°
Triangle Sum Theorem means sum of all 3 angles = 180
Right angle = 90°, so complimentary angles = 90°
Bottom Triangle:
Use Linear Pair to discover that 114° + 66° = 180°
Use Congruent sides to show that the other base angle = 66°
Use Triangle Sum Theorem to show that the vertex angle = 48°
66° + 66° + vertex angle = 180° → vertex angle = 48°
Top Triangle:
Use congruent sides to show that the other base angle = <2
Complimentary Angles = 90°:
<2 from top triangle and 48° from bottom triangle are complimentary
See attachment for calculation that x = 11
