Question

parallelogram properties - angles
score: 3.5/5 penalty: 0.25 off
question
in parallelogram abcd if ( mangle cda = 125^{circ} ) find ( mangle abc ).
answer attempt 1 out of 2
( x = )

Explanation:

Step1: Use the property of parallelogram adjacent angles

In a parallelogram, adjacent angles are supplementary. So, $\angle CDA+\angle ABC = 180^{\circ}$.

Step2: Solve for $\angle ABC$

Given $\angle CDA = 125^{\circ}$, then $\angle ABC=180^{\circ}-\angle CDA$. Substitute the value: $\angle ABC = 180 - 125=55^{\circ}$. So, $x = 55$.

Answer:

$55$