Question

In the rhombus m∠1 = 160°. What are m∠2 and m∠3? The diagram is not drawn to scale.

Answer 1

Step-by-step explanation:

Opposite Angles of a Rhombus are equal

Hence /_3=/_1=160°

Two adjacent Angles of a Rhombus are Supplementary

Hence /_1+/_2=180

/_2=20°

Answer 2

Given:

In the rhombus m∠1 = 160°.

To Find:

What are m∠2 and m∠3?

Solution:

A rhombus is a parallelogram with all sides equal or we can say that a rhombus is a square titled at the base with some angle theta, the opposite sides of a rhombus are equal and the adjacent sides are equal to 180 degrees.

It is given that m∠1 = 160°, then we can say that the measure of angle 3 will also be 160 degrees

and the measure of angles 2 and 3 will be equal to 180 degrees

$\angle 2 +\angle 3=180^{\circ}\\\angle 2+160=180\\\angle 2=20^{\circ}$

So the measure of the angle 2 is 20 degrees

Hence, the measure of angle 2 and angle 3 is 160 and 20 degrees respectively.