Answer:
48°
Step-by-step 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°
m∠WZC=48°
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°
