Question

Which equations are true for the values of x, y, and z? Select three options.

2 lines intersect to form 4 angles. Clockwise, from top, the angles are: 65 degrees, x, y, z.

Answer 1

Explanation:

Based on the information provided, the following three equations are true for the values of x, y, and z:

x + y + z = 360 degrees (Since the sum of the angles in a quadrilateral must equal 360 degrees)

x = 65 degrees (As given, the first angle is 65 degrees)

y + z = 295 degrees (From equation 1, 360 - 65 = 295)

So, the values of x, y, and z can be calculated as 65 degrees, 115 degrees, and 180 degrees respectively.