Answer: x = 13°, y = 20°
Explanation:
We can solve for x and y by using the definition of vertical angles being congruent.
Given:
4x° = 6x° - 26°
Subtract 6x from both sides of the equation:
-2x° = -26°
Divide both sides of the equation by -2:
x = 13°
Now, we will do the same for y.
Given:
6y° + 8° = 7y° - 12°
Subtract 8 and 7y from both sides of the equation:
-y° = -20°
Divide both sides of the equation by -1:
y = 20°