Z = 140 X = 40 Y = 40 Explanation: Z and the angle given (140 degrees) are vertical angles, and are therefore congruent We know that x and y are vertical angles, so they are also congruent to each other You know that together, the angles have to add up to 360 140 + 140 + x + y = 360 Another way of putting it: 360-280 = 80 Now, we have to divide by two since we need to find x AND y 80/2 = 40 Therefore, your answers for x and y are 40 To double check, you can add up the angles and see if they equal 360 140 + 140 + 40 + 40 280 + 80 = 360
the two labeled angles are vertical angles. according to the vertical angles theorem, they must be equivalent. therefore, we can set them equal to each other and solve.
