Question

If ΔPQR ~ ΔXYZ and ∠P = 43°, ∠Z = 57° then ∠Q = ____.
(a) 57°
(b) 80°
(c) 43°
(d) 180°

Answer 1

Answer:

80

Step-by-step explanation:

Using angle sum property

P=43

R=Z=57 (since both triangles are similar corresponding angles are equal )

p+q+r=180

100 + q=180

q = 80

Answer 2

Answer:

(b) 80°

Step-by-step explanation:

angle p = 43°

angle r = 57° (angle z = angle r .°. congruence)

p+q+r = 180°. (angle sum property)

43°+q+57°=180°

100°+q=180°

q=80°