Question

Find the measures of the numbered angles in rhombus ABCD .

look for all four measures numbered in the photo

Answer 1

<1=54, <2=36, <3=90, <4=36

Explanation:

in the rhombus shown, there are 4 congruent right triangles because the disgonals of a rhombus are perpendicular and the sides of a rhombus are congruent. We already know that the larger acute angles are all 54 degrees and we can use triangle sum to find that the smaller acute angles are all 36 degrees. Obviously the right angles are 90 degrees, so we can look at the picture and find the marked angles.