passpadi

2013

Mathematics

JAMB

In the diagram given, find the value of x.

A.

30°

B.

40°

C.

45°

D.

15°

Correct Answer: 40°

Explanation

In the diagram above, < CDE = < CED = 15° (base < s of isos. △) < ECD = 180° - (15 + 15)° = 180° - 30° = 150° But x + 110° = 150° (Sum of opp. interior < s of a△ = opp. exterior < ) x = 150° - 110° = 40°

In the diagram above, < CDE = < CED = 15° (base < s of isos. △) < ECD = 180° - (15 + 15)° = 180° - 30° = 150° But x + 110° = 150° (Sum of opp. interior < s of a△ = opp. exterior < ) x = 150° - 110° = 40°
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