Answer: x = 11
Step-by-step explanation:
a) bottom triangle, bottom right angle: Using Linear Pair Postulate, 180° - 114° = 66°
b) bottom triangle, top angle: Congruent sides implies congruent angles = 66°
c) bottom triangle, bottom left angle: Using the Triangle Sum Theorem, 66° + 66° + y = 180° --> y = 48°
d) top triangle, bottom angle: Using Complimentary Angles Theorem, 90° - 48° = 42°
Congruent sides implies congruent angles:
42° = ∠2
42 = 2x + 20
22 = 2x
11 = x
