Question

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

A) 32 °

B) 45 °

C) 48 °

D) 20 °

Answer 1

Answer:

C

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

Answer 2

The  m∠WZC is 48 degrees.

• The calculation is as follows:

ZC should be the altitude,

So

∠ZCY = 90°

Now  

The sum of the 3 angles in a triangle = 180°

And,  

Sum the 3 angles in ΔCYZ and equate to 180

90 + 5x + 22 + 12x = 18

17x + 112 = 180

17x = 68  

x = 4

Hence

∠WZC = 12x

= 12(4)

= 48°

Learn more: brainly.com/question/17429689