xgoldenx11
xgoldenx11 xgoldenx11
  • 01-08-2020
  • Mathematics
contestada

: Find the angle measures given the figure is a rhombus.

Find the angle measures given the figure is a rhombus class=

Respuesta :

raphealnwobi
raphealnwobi raphealnwobi
  • 07-08-2020

Answer:

74°

Step-by-step 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°

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