Question

Using the image below, identify the angles that are vertical angles, list the angles that are linear pairs, and then solve for , , and .

Answer 1

Answer:

Step-by-step explanation:

y and 76 are vertically opposite angles

x and z are vertically opposite angles

Linear pairs.

If sum of two adjacent angles are 180, then they are linear pair.

x & 76 are linear pairs

y & z are linear pairs

z & 76 are linear pairs

x and y are linear pairs

Solutions:

y = 76   { vertically opposite angles are equal}

x + 76 = 180  { linear pair}

x = 180 - 76

x = 104

z = x  {Vertically opposite angles are equal}

z = 104