Question

question 4 of 10

given \square abcd, what is the measure of \angle b?

a. 90^{\circ}
b. 235^{\circ}
c. 145^{\circ}
d. 35^{\circ}
e. 10^{\circ}
f. 55^{\circ}

Explanation:

Identify the given geometric figure

We are given a parallelogram \(ABCD\), denoted by \(\square ABCD\).

Recall parallelogram angle properties

In any parallelogram, opposite angles are equal in measure.

$$ m\angle B = m\angle D $$

Substitute the given value

We are given that the measure of \(\angle D\) is \(145^\circ\).

$$ m\angle D = 145^\circ $$

Solve for the unknown angle

Using the property that opposite angles are equal:

$$ m\angle B = 145^\circ $$

Answer:

• A. \(90^\circ\)
• B. \(235^\circ\)
• C. \(145^\circ\) (Correct answer)
• D. \(35^\circ\)
• E. \(10^\circ\)
• F. \(55^\circ\)