Question

GEOMETRY HELP WILL MARK BRAINLIEST

Answer 1

Answer:

x=8, z=115

Step-by-step explanation:

We can first set up an equation to find x.

13x-39=65

This can be stated because vertical angles are always congruent.

Now, we can add 39 to both sides of the equation to isolate x.

13x=104

Divide both sides by 13.

x≈8

Now, we can set up an equation to find z.

A line has 180 degrees.

That said, we can use that to set up our second equation.

65+z=180

Subtract 65 from both sides.

z=115

Answer 2

Answer:

x=8

z = 115

Step-by-step explanation:

65 and 13x - 39 are vertical angles so they are equal

65 = 13x - 39

Add 39 to each side

65+39 = 13x - 39+39

104 = 13x

Divide each side by 13

104/13 = 13x/13

8 =x

65 and z are supplementary angles because they form a straight line.  This means they add to 180

65+z = 180

Subtract 65 from each side

65+z-65 = 180-65

z = 115