Question

In the triangles shown below, AABC is similar to AXYZ. Given that ZA = 50° and
ZB = 100°, what is the measurement of ZZ? * plz help

Answer 1

Answer:

B. 30°

Step-by-step explanation:

Given in the question that triangle ABC  and similar to triangle XYZ where ∠A = 50° ,∠B=100° then its true to say by AA { Angle-Angle} similarity ;

if ΔABC ≅ ΔXYZ then

∠A =∠X  

∠B = ∠ Y

hence ; ∠C = ∠Z

Finding angle ∠C as ;

180°-{100+50}°

180°-150° = 30°

So angle ∠Z = 30°