Question

jacintas job is to cut rhombus - shaped side mirrors for cars. the lower right corner is supposed to be 112°. did jacinta correctly cut the mirror shown? explain.
the diagonals of a rhombus are so they form four right triangles. the diagonals also bisect each . the bottom triangle has angles measuring . the lower right corner of the mirror measures (type integers or decimals. do not include the degree symbol in your answers. use a comma to separate your answers as needed.)

Explanation:

Step1: Recall rhombus properties

The diagonals of a rhombus are perpendicular, so they form four right - angled triangles. The diagonals also bisect each other and the angles of the rhombus.

Step2: Analyze the given angle

The lower right corner of the rhombus is supposed to be 112°. Since the diagonal bisects the angle of the rhombus, in the bottom - right triangle, one of the non - right angles is $\frac{112}{2}=56$. In a right - triangle, the other non - right angle is $90 - 56 = 34$. The bottom triangle has angles measuring 34, 56, 90. The lower right corner of the mirror should measure 112°. If the angle marked in the picture is one of the angles formed by the diagonal and the side of the rhombus in the bottom right triangle, and it is 34°, then the lower right corner of the mirror (the whole angle) is $2\times34 = 68
eq112$.

Answer:

No, the diagonals of a rhombus are perpendicular, so they form four right triangles. The diagonals also bisect each other and the angles of the rhombus. The bottom triangle has angles measuring 34, 56, 90. The lower right corner of the mirror measures 68.