Question

In the rhombus m∠1 =106°. What are m∠2 and m∠3? The diagram is not drawn to scale.

Answer 1

∠ 2 = 106° , ∠ 3 = 37°

Explanation:

In a rhombus the opposite angles are congruent , then

∠ 2 = ∠ 1 = 106°

The lower triangle has 2 congruent sides and is isosceles with the 2 base angles being congruent , then

∠ 3 =
`(180-106)/(2)` =
`(74)/(2)` = 37°