Question

In the rhombus, Angle 1 = 140. What are Angles 2 and 3?

The diagram is not to scale.

Answer 1

The correct answer is that Angle 2 will be 140 and Angle 3 will be 40.

Explanation:

In a rhombus, angles opposite from one another are equal. So, since Angle 1 is 140, we know Angle 2 is also 140.

We also know consecutive angles must equal 180. This means the angle in-between 1 and 2 is equal to 40. Since Angle 3 is half of that, we know it to be 20.

Answer 2

∠2 = 140° and ∠3 = 20°

Explanation:

Only the first two choices make any sense, because the angles in a triangle must sum to 180°.

Only the second choice makes any sense, because ∠2 ≅ ∠1.