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ValentinkaMS [17]
4 years ago
8

Find the value of x. Part 1c​

Mathematics
2 answers:
aniked [119]4 years ago
6 0

Answer: x = 11

<u>Step-by-step explanation:</u>

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

gtnhenbr [62]4 years ago
4 0

Answer:

x=11

Step-by-step explanation:

Please see attached image.

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