Question

ABCD is a rhombus, and CDEF is a rectangle. If m∠BAD = 40 degrees, then find m∠CDE.

A. 20 degrees
B. 40 degrees
C. 90 degrees
D. 180 degrees

Answer 1

In a rhombus, opposite angles are congruent. In a rectangle, opposite angles are congruent and measure 90 degrees. Therefore, the measure of angle CDE is 90 degrees.

Step-by-step explanation:

In a rhombus, the opposite angles are congruent. Since ∠BAD is 40 degrees, then ∠ADC is also 40 degrees.

In a rectangle, the opposite angles are congruent and each measure 90 degrees. Therefore, ∠CDE is also 90 degrees.

So, the answer is C. 90 degrees.