Answer:
∠ 2 = 160° , ∠ 3 = 10°
Explanation:
The opposite angles of a rhombus are congruent , then
∠ 2 = ∠ 1 = 160°
The triangle has 2 congruent sides and is isosceles with base angles being congruent , then
∠ 3 = = = 10°
m∠3 = 10° || m∠2 = 160°
if m∠1 = 160°
then m∠2 = 160°
The triangle is isosceles.
therefore
m∠3 + m∠3 + 160° = 180°
2 m∠3 = 180° - 160°
2 m∠3 = 20°
m∠3 = 10°
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= 10°