7.4k views
3 votes
Instructions: Find the angle measures given the figure is a rhombus.

Instructions: Find the angle measures given the figure is a rhombus.-example-1

1 Answer

6 votes

Answer:

m∠1 = 90°

m∠2 = 55°

Explanation:

1. m∠1 = 90° because by definition, the diagonals of a rhombus are perpendicular, or intersect at 90°.

2. Because of vertical angles, the angle opposite of ∠1 is also 90°. A triangle has a total of 180°.

m∠2 + 90 + 35 = 180

90 + 35 = 125

m∠2 + 125 = 180

subtract 125 from both sides to solve for m∠2

m∠2 = 55°

User Brian Dishaw
by
6.0k points