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

B. 30°

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°