Answer:
m∠2 = 118, and m∠3 = 31
Step-by-step explanation:
The 2 opposite angles of a rhombus are equal.
Angle 1 and Angle 2 are opposite to each other. Since Angle 1 is 118, angle 2 is also 118.
Now looking at the bottom triangle in the rhombus, the two sides are equal (given by 2 lines). Hence, the 2 opposite angles are equal. Since we know 3 angles of a triangle add up to 180 degrees, we can write: (let angle 3 be x):
x + x + 118 = 180
2x = 180 - 118
2x = 62
x = 62/2
x = 31
So m∠2 = 118, and m∠3 = 31
