Answer: (38, 25) or x = 38 and y = 25
Explanation:
We will use the measurement of a straight line and vertical angles to help us solve.
First, vertical angles are congruent. We will set up an equation and use inverse operations to isolate the x variable.
Given:
(3x - 33) = (2x + 5)
Add 33 and subtract 2x from both sides of the equation:
x = 38
Next, we know a straight line is equal to 180 degrees. We can substitute the value we found above for x. Then we will simplify and use inverse operations to isolate the y variable.
Given:
(2x + 5) + (4y - 1) = 180
Substitute for x:
(2(38) + 5) + (4y - 1) = 180
Simplify:
81 + (4y - 1) = 180
Subtract 80 (81 - 1) from both sides of the equation:
4y = 100
Divide both sides of the equation by 4:
y = 25