Question

geometry - 2(a) - s1
geometry - unit 2 - practice test
due sep 25 - 9:00 am
what is z?
a. 54
b. 92
c. 88
d. 93

Explanation:

Step1: Use vertical - angles property

Vertical angles are equal. The angle vertical to the one marked \(87^{\circ}\) is also \(87^{\circ}\).

Step2: Apply the angle - sum property of a triangle

The sum of interior angles of a triangle is \(180^{\circ}\). In the triangle with angles \(39^{\circ}\), \(48^{\circ}\) and \(y^{\circ}\), we have \(y=180-(39 + 48)=93^{\circ}\).

Step3: Use the fact that \(y\) and \(z\) are vertical angles

Since vertical angles are equal, \(z = y\). So \(z=93^{\circ}\).

Answer:

D. 93