ZC is an altitude, m∠CYW (5x + 22)°, and m∠WZC (12x)°. Find m∠WZC

Mathematics

1 answer:

hammer [34]2 years ago

5 0

Answer:

Step-by-step explanation:

ZC is an altitude, thus ∠ZCY = 90°

The sum of the3 angles in a triangle = 180°

Sum the 3 angles in ΔCYZ and equate to 180

90 + 5x + 22 + 12x = 180 ← simplify left side

17x + 112 = 180 ( subtract f112 from both sides )

17x = 68 ( divide both sides by 17)

x = 4

Hence

∠WZC = 12x = 12 × 4 = 48° → C

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