Question

a triangle is shown. what is the value of 3x? a. 31.25° b. 41.60° c. 93.75° d. 125.0°

Explanation:

Step1: Use exterior - angle property

The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(125=x + 3x\).

Step2: Simplify the equation

Combining like terms, we get \(125 = 4x\).

Step3: Solve for \(x\)

Dividing both sides by 4, \(x=\frac{125}{4}=31.25\).

Step4: Find the value of \(3x\)

Multiply \(x\) by 3, \(3x=3\times31.25 = 93.75\).

Answer:

C. \(93.75^{\circ}\)