Question

find m∠j in parallelogram ghij.
m∠j = \square°
submit

Explanation:

Step1: Use parallelogram consecutive angles property

Consecutive angles in a parallelogram are supplementary, so:
$$(2u+18) + u = 180$$

Step2: Simplify and solve for $u$

Combine like terms and isolate $u$:
$$3u + 18 = 180$$
$$3u = 180 - 18$$
$$3u = 162$$
$$u = \frac{162}{3} = 54$$

Step3: Find $m\angle J$

In a parallelogram, opposite angles are equal, so $\angle J = \angle H$. Substitute $u=54$ into $\angle H$:
$$m\angle J = 2(54) + 18 = 108 + 18 = 126?$$
*Correction: Step3 correction: $\angle J$ is opposite $\angle H$? No, consecutive angles: $\angle J$ is supplementary to $\angle H$, so $\angle J = u$.
$$m\angle J = u = 54^\circ$$

Answer:

$54^\circ$