Question

question 8 (multiple choice worth 1 points) in parallelogram efgh, the measure of angle g is (4x + 16)° and the measure of angle h is (2x - 16)°. what is the measure of angle h? 32° 44° 88° 136°

Explanation:

Step1: Use property of parallelogram

Adjacent angles in a parallelogram are supplementary, so $\angle G+\angle H = 180^{\circ}$.
$(4x + 16)+(2x-16)=180$

Step2: Simplify the equation

Combine like - terms: $4x+2x+16 - 16=180$, which gives $6x=180$.

Step3: Solve for x

Divide both sides of the equation by 6: $x=\frac{180}{6}=30$.

Step4: Find the measure of angle H

Substitute $x = 30$ into the expression for $\angle H$. $\angle H=(2x - 16)^{\circ}=(2\times30 - 16)^{\circ}=(60 - 16)^{\circ}=44^{\circ}$.

Answer:

$44^{\circ}$