Question

N

50°
AOMN~ ARPQ
Find 0.
M
Ө
0 = [?]°
<
P
70°
R

Answer 1

60°

Explanation:

In similar triangles, the corresponding angles are congruent.

∠O = R

O = 70°

In ΔOMN,

∠O + ∠M + ∠N = 180 {Angle sum property of triangle}

70 + 50 + Ф = 180

120 + Ф = 180

Subtract 120 from both sides,

Ф = 180 - 120

Ф = 60°