Answer:
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°
