Question

8 the diagram below shows a parallelogram: (4x-20)° 100° solve for x (show all work on paper): a x = 30 b x = 25 c x = 18 d x = 15 e x = 10

Explanation:

Step1: Use the property of parallelogram

In a parallelogram, consecutive angles are supplementary. So, \((4x - 20)+100 = 180\).

Step2: Simplify the equation

Simplify the left - hand side of the equation: \(4x-20 + 100=4x + 80\). The equation becomes \(4x+80 = 180\).

Step3: Solve for \(x\)

Subtract 80 from both sides: \(4x=180 - 80\), so \(4x = 100\). Then divide both sides by 4: \(x=\frac{100}{4}=25\).

Answer:

B. \(x = 25\)