Question

in parallelogram abcd if ( mangle cda = 110^{circ} ) find ( mangle abc ).

Explanation:

Step1: Recall the property of parallelogram

In a parallelogram, opposite angles are equal.

Step2: Identify the relationship between angles

Since \(ABCD\) is a parallelogram, \(\angle ABC\) and \(\angle CDA\) are opposite angles.

Step3: Calculate the measure of \(\angle ABC\)

Given \(m\angle CDA = 110^{\circ}\), by the property of opposite angles in a parallelogram \(m\angle ABC=m\angle CDA\).

Answer:

\(110\)