Question

1 find the missing angle measures of the parallelogram.
m∠b=_________
m∠c=_________
m∠d=_________

Explanation:

Step1: Recall parallelogram angle properties

In a parallelogram, consecutive angles are supplementary (sum to \( 180^\circ \)) and opposite angles are equal.

Step2: Find \( m\angle B \)

\( \angle A \) and \( \angle B \) are consecutive angles. Given \( m\angle A = 98^\circ \), so \( m\angle B = 180^\circ - 98^\circ = 82^\circ \).

Step3: Find \( m\angle C \)

\( \angle A \) and \( \angle C \) are opposite angles. So \( m\angle C = m\angle A = 98^\circ \).

Step4: Find \( m\angle D \)

\( \angle B \) and \( \angle D \) are opposite angles. So \( m\angle D = m\angle B = 82^\circ \).

Answer:

\( m\angle B = 82^\circ \), \( m\angle C = 98^\circ \), \( m\angle D = 82^\circ \)