asked 14.9k views
2 votes
: Find the angle measures given the figure is a rhombus.

: Find the angle measures given the figure is a rhombus.-example-1
asked
User Yi Ren
by
8.6k points

1 Answer

7 votes

Answer:

74°

Explanation:

A rhombus is a quadrilateral (has four sides). For a rhombus: opposite sides are equal, opposite angles are equal, all the sides are equal, the diagonals bisect each other, adjacent angles are supplementary, diagonals bisect the angles.

From the diagram below since adjacent angles of a rhombus are supplementary therefore:

32° + 2∠1 (diagonals bisect the angles) = 180

2∠1 = 180 - 32

2∠1 = 148

∠1 = 148 / 2

∠1 = 74°

answered
User Sachin Gadagi
by
8.2k points

No related questions found

Welcome to Qamnty — a place to ask, share, and grow together. Join our community and get real answers from real people.