Question

use the parallelogram abcd to solve problems 1 and 2.

1. angle bac = 35° and angle bca = 20°. what is the measure of angle bad?

Explanation:

Step1: Use parallelogram side property

In parallelogram \(ABCD\), \(AD \parallel BC\). So alternate interior angles \(\angle CAD = \angle BCA\).
\(\angle CAD = 20^\circ\)

Step2: Sum angles for \(\angle BAD\)

\(\angle BAD = \angle BAC + \angle CAD\)
\(\angle BAD = 35^\circ + 20^\circ\)

Answer:

\(55^\circ\)