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In the rhombus, m∠1 = 40°. Find m∠2.

My options are
A) 20°

B) 80°

C) 40°

Additionally, I already know D)50° is false, so don't bother answering with that.
If you could tell me how you got to this answer, that'd be great.
Fair warning, the rhombus apparently isn't drawn to scale or something, because I saw similar issues and they had wild issues using the same graph, because I saw one with m∠3 being 80, which it is clearly not.

In the rhombus, m∠1 = 40°. Find m∠2. My options are A) 20° B) 80° C) 40° Additionally-example-1

1 Answer

3 votes

Answer:

Option C is correct.

Explanation:

Given: A rhombus. m∠1 = 40°

To find: m∠2

We know that Rhombus is a parallelogram with all equal sides.

Opposite sides of the Rhombus are parallel.

Then Diagonal act as a traversal for parallel sides.

So, m∠2 = m∠1 ( Alternate Interior Angles are equal )

m∠2 = 40°

Therefore, Option C is correct.

User SaviNuclear
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