In the rhombus, m∠3= 80. find m∠2?

m<2 = 50°

Step-by-step explanation:

Points to remember

1). The rhombus is a parallelogram. Opposite angles are supplementary.

2). The diagonals bisects each corner angles.

3). Alternate interior angles are equal.

4). All sides are equal

To find the measure of <2

From the figure we can see a parallelogram.

It is given that, n<3 = 80

We know that m<1 = m< 2

By angle sum property,

m<1 + m<1 + m<3 = 180

2 * m<1 = 180 - 80 = 100

<m1 = 100/2 = 50

Therefore m<2 = 50°

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