In parallelogram ABCD, AC is a diagonal, the measure of ∠ABC is 40°, and the measure of ∠ACD is 57°. What is the

measure of ∠CAD?

measure of ∠CAD?

Since ∠ABC is 40°, then ∠ADC is also 40°.

Subtract 57° and 40° from 180, and that will be the measure of ∠CAD, because angles of a triangle add up to 180°.

180 - (57 + 40) {subtracted the two known angles of the triangle from 180}

= 180 - 97

= 83

Subtract 57° and 40° from 180, and that will be the measure of ∠CAD, because angles of a triangle add up to 180°.

180 - (57 + 40) {subtracted the two known angles of the triangle from 180}

= 180 - 97

= 83

**D.) 83°**

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