Question

three angles of a parallelogram have the following measures: $46^{circ}$, $134^{circ}$, and $46^{circ}$. what is the measure of the 4th angle?

answer attempt 1 out of 2

the measure of the fourth angle is $\square^{circ}$

Explanation:

Step1: Recall parallelogram angle sum

The sum of interior angles of a parallelogram is $360^\circ$.

Step2: Sum the given angles

$46^\circ + 134^\circ + 46^\circ = 226^\circ$

Step3: Calculate the 4th angle

Subtract the sum from $360^\circ$: $360^\circ - 226^\circ = 134^\circ$
Alternatively, use the property that opposite angles in a parallelogram are equal; the angle opposite $134^\circ$ is the missing angle, so it is $134^\circ$.

Answer:

$134$