Question

Please i need help 15 points Please answer both

Answer 1

Answer:

5a. x = 15

5b. z = 125

Step-by-step explanation:

Please see attached photo.

y° = 4x – 5... (1) (Alternate angles are equal)

y° = 5x – 20. (2) (opposite angles are equal)

5a. Determination of the value of x.

We can obtain the value of x by equating equation 1 and 2 as shown below

y° = 4x – 5.... (1)

y° = 5x – 20... (2)

y° = y°

5x – 20 = 4x – 5

Collect like terms

5x – 4x = – 5 + 20

x = 15

5b. Determination of the value of z.

The value of z can be obtained as follow:

4x – 5 + z = 180 (angle on a straight line).

x = 15

4(15) – 5 + z = 180

60 – 5 + z = 180

55 + z = 180

Collect like terms

z = 180 – 55

z = 125