a. x = 120°
b. x = 88°
c. x = 146°
Determining the value of x
A. We have that x and angle 80° as shown in the diagram is on a straight
Angles on a straight line = 180°
Then,
x + 80° = 180°
Make 'x' subject
x = 180° - 80°
x = 100°
B. From the diagram, we can see that 'x' at ∠BCD is alternate to ∠EDC which is 88°
It is important to note that alternate angles are equal
Then,
x = 88°
C. From the diagram, we can see that 'x' at CDE is on a straight line with ABC
Angles on a straight line are equal
Then,
x + 34° = 180°
Make 'x' subject of formula
x = 180° - 34°
x = 146°
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