Question

Can somebody help me ??

Answer 1

y = 98

z = 21

Explanation:

in the picture, y and 82 are supplementary angles because the are same side interior angles. This means that we can create this equation:

y = 180 - 82

we get y = 98

<Y and <4z + 14 are vertical angles, so we can also say that they are equal to each other. So we can create this equation:

4z + 14 = 98

subtract 14 from both sides:

4z = 84

divide both side by 4 to find z:

z = 21

Answer 2

y = 82

z = 21

Explanation:

You can get y almost immediately.

82 and y are supplementary. Interior angles on the same side of the transversal = 180

82 + y = 180 Subtract 82 from both sides

y = 180 - 82

y = 98

y and 4z + 14 are equal.

y = 4z + 14 Substitute for y

98 = 4z + 14 Subtract 14 from both sides.

98-14 = 4z

84 = 4z Divide by 4

84/4 = 4z/4

21 = z