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 ^^
