Question

AbCD is a rhombus with angle ABC 56 . determine qngle CAD.

Answer 1

angle CAD =124 by using adjacent angles of rhombus are supplementary.

Answer 2

Answer:

124 degree.

Step-by-step explanation:

Given information: ABCD is a rhombus and $m\angle ABC=56^{\circ}$.

We need to find the value of $m\angle CAD$

Properties of rhombus:

1. All sides are equal.

2. Opposite sides are parallel.

3. Consecutive interior angles are supplementary angles.

4. Opposite interior angles are equal.

Angle ABC and CAD are two consecutive angles.

$m\angle ABC+m\angle CAD=180$

$56+m\angle CAD=180$

$m\angle CAD=180-56$

$m\angle CAD=124$

Therefore, the measure of angle CAD is 124 degree.