Question

17. In figure, AB || ED, the value of x is
O 36
O 26
0 54
O 62​

Answer 1

Answer:

x=26.

Step-by-step explanation:

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Answer 2

Given:

• AB || ED
• ∠CEF = 36°
• ∠DCF = 62°

To Find:

The value of x

Solution:

• Angles ∠DCF and ∠BAC are alternative because BA and DC are parallel.
• The angles ∠ECF and ∠DCF are supplementary. This means their sum is 180. We know the value of ∠DCF (62°) so ∠ECF will be:

180 - ∠DCF = ∠ECF

∠ECF = 180 - 62

∠ECF = 118°.

• We can now see that CEF make a triangle.
• We know two angles of this triangle. X is unknown.
• X can be found using the angle property of triangle:
• Sum of all angles in a triangle equal to 180°.
• Thus,

118 + 36 + x = 180

x = 180 - 118 - 36

x = 26°

Hence, the value of x is 26°.

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