Question

9.2.5 quiz: angle relationships
find the value of x.
a. 90
b. 70
c. 50
d. 20

Explanation:

Step1: Set up the equation

The sum of angles in a semicircle is \(180^{\circ}\). So, \(40 + 2x=140\).

Step2: Solve for \(x\)

Subtract \(40\) from both sides: \(2x = 140 - 40\), \(2x=100\). Then divide both sides by \(2\): \(x=\frac{100}{2}\).

Answer:

B. 70