Question

find the value of x and the measure of the angle labeled 3x°. a. x = 15; angle measure is 45°. b. x = 9; angle measure is 27°. c. x = 9; angle measure is 45°. d. x = 15; angle measure is 27°.

Explanation:

Step1: Use vertical angles property

Vertical angles are equal. The angle \(3x\) and \(27^{\circ}\) are vertical angles. So \(3x = 27\).

Step2: Solve for \(x\)

Divide both sides of the equation \(3x = 27\) by \(3\). We get \(x=\frac{27}{3}=9\).

Answer:

B. \(x = 9\); angle measure is \(27^{\circ}\)