The parallelogram abcd below, line ac is a diagonal, the measure of angle abc is 40, and the measure of angle acd is 57. what is the measure of angel of cad?

Using properties of parallelogram and angle sum property of a triangle in the figure as shown below in the attachment

In parallelogram ABCD, AC is a diagonal.

Given:   and

As, we know that opposite angles in parallelogram are equal.

therefore,

Now, in ΔADC

Sum of the measures of angles in a triangle is 180 degree.

Substituting the values of and    we have;

or

Subtract from both sides we get

Therefore, the measure of angle CAD is .

idc

step-by-step explanation:

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