Question

what is the measure of ∠adc in quadrilateral abcd? 45° 65° 115° 135°

Explanation:

Step1: Identify quadrilateral type

The markings show $AB=CD$, $BC=AD$, so $ABCD$ is a parallelogram.

Step2: Use parallelogram angle property

In a parallelogram, consecutive angles are supplementary: $m\angle BAD + m\angle ADC = 180^\circ$

Step3: Calculate $\angle ADC$

Substitute $m\angle BAD=115^\circ$:
$m\angle ADC = 180^\circ - 115^\circ$

Answer:

65° (Option B. 65°)