Will mark brainliest. Please step-by-step. Thank you.

Answer:

x = 11°

z = 62°

Step-by-step explanation:

To find the value of z, we can observe that the opposite angle measures 62°. The opposite angle will always be equal, so we can determine that the value of z is 62°.

For the value of x, we can subtract the measures that we have already found from the full 360°. We know that there are two angles measuring 62°, so we can subtract both of them from 360 for a remaining measure of 236°.

In this way, we have only two equal angles left to solve. Since we know that they are equal to each other, we can divide the 236° by two to find what the equation measures. So, 13x - 25 = 118.

Solve this equation for x. First, add 25 to both sides.

13x -25 + 25 = 118 +25

Simplify.

13x = 143

Next, divide both sides by 13 to isolate x.

[tex]\frac{13x}{13}[/tex] = [tex]\frac{143}{13}[/tex]

Simplify.

x = 11

We can check this by substituting 11 for x in the original equation.

13(11) - 25 = 118

So, we know for sure that x = 11.

The answer is x = 11° and z = 62°.

I hope this helped :] Good luck ^^

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