Question

Lines AB and CD (if present in the picture) are straight lines. Find x. Give reasons to justify your solutions.

Answer 1

Answer:

x = 28°

Step-by-step explanation:

∠AOD and ∠BOC are vertical angles, hence congruent. That means the sum of ∠COE, ∠EOF, and ∠FOB is ∠BOC.

... 3x +x +(x+12°) = 152°

... 5x = 140° . . . . collect terms, subtract 12°

... x = 28° . . . . . . divide by 5

Answer 2

If line AB and CD are parallel to each other, hence the value of x from the given diagram is 39.2

To find the value of x from the given diagram, we will have to use the formula for finding the angle at a point.

• The sum of all the angles at a point is 360 degrees

• Taking the sum of the angles and equating to 360 degrees is;

152 + 3x + x + x + 12 = 360

152 + 12 + 5x = 360

164 + 5x = 360

5x = 360 -164

5x = 196

x = 196/5

x = 39.2

Hence the value of x from the given diagram is 39.2

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