Question

1. a playground is in the shape of an isosceles trapezoid, where the sum of the angles is 360°. if x represents the measure, in degrees, of each unknown angle, which statement is true? a. the equation 2x + 95 = 360 can be used to find the value of x is 85. b. the equation 2x + 95 = 360 can be used to find the value of x is 132.5. c. the equation 2x + 2(95) = 360 can be used to find the value of x is 85. d. the equation 2x + 2(95) = 360 can be used to find the value of x is 132.5

Explanation:

Step1: Set up the equation

The sum of the interior angles of a trapezoid is \(360^{\circ}\). There are two angles of \(95^{\circ}\) and two angles of \(x^{\circ}\). So the equation is \(2x + 2\times95=360\).

Step2: Solve the equation

First, simplify the left - hand side: \(2x+190 = 360\).
Then, subtract \(190\) from both sides: \(2x=360 - 190\), so \(2x = 170\).
Finally, divide both sides by \(2\): \(x=\frac{170}{2}=85\).

Answer:

C. The equation \(2x + 2(95)=360\) can be used to find the value of \(x\) is \(85\).