Please i need help 15 points Please answer both
1 answer:
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
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