Question

a formula to find the angle measures of an isosceles triangle is shown. 180 = 2x + y which equation can be used to find x? a) x = \frac{180 - y}{2} b) x = \frac{180 + y}{2} c) x = 90 - y d) x = 90 + y

Explanation:

Step1: Isolate the term with \(x\)

Given \(180 = 2x + y\), subtract \(y\) from both sides:
\(180 - y=2x + y - y\)
\(180 - y = 2x\)

Step2: Solve for \(x\)

Divide both sides of the equation \(180 - y = 2x\) by \(2\):
\(x=\frac{180 - y}{2}\)

Answer:

A. \(x = \frac{180 - y}{2}\)