Question

32°


45°


48°


20°

FIND WZC

Answer 1

m∠WZC=48°

Explanation:

we know that

If ZC is an altitude

then

Triangle YZC is a right triangle

therefore

m∠CYW+m∠WZC=90° ----> by complementary angles

substitute

(5x+22)°+(12x)°=90°

17x=(90-22)°

x=4°

Find the measure of angle WZC

m∠WZC=(12x)°=12*4=48°

Answer 2

48°

Explanation:

In triangle CYZ, angles Y and C are complementary, so ...

(5x +22) + (12x) = 90

17x +22 = 90

17x = 68

x = 4

The angle of interest is 12x° , so has measure

12·4° = 48°