Question

If triangle pqr ~ triangle xyz , angle q = 50° and angle r =70° , then angle x + angle y =?

Answer 1

angle sum property
50+70+p= 180
180- 120 = 60 = p

x= 60
y= 50
z = 70

x + y
60 + 50 = 110

Answer 2

Answer:

We get that ∠X + ∠Y is equal to 110°.

Step-by-step explanation:

We have:

ΔPQR  ~ Δ XYZ

Also,

∠Q = 50°

∠ R = 70°

We know that according to angle sum property of triangle,

∠P + ∠ Q + ∠R = 180°

∠P + 50° + 70° = 180°

∠P = 180° - 120°

∠P = 60°

Since the triangles are similar, we get using the AAA rule that:

∠X = 60°

∠Y = 50°

Substituting the values, we get that:

∠X + ∠Y = 60° + 50°

∠X + ∠Y = 110°

Therefore, we get that ∠X + ∠Y is equal to 110°.

#SPJ3