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In ΔABC above, BC is produced to D, /AB/ = /AC/ and ∠BAC = 50o....

Mathematics
WAEC 1995

In ΔABC above, BC is produced to D, /AB/ = /AC/ and ∠BAC = 50o. Find ∠ACD
  • A. 50o
  • B. 60o
  • C. 65o
  • D. 100o
  • E. 115o
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Correct Answer: Option E
Explanation
ACB = ABC [Base angles of isoceles triangle]
ACB + ABC + 50o = 180o[sum of angles in a triangle]
ACB + ABC = 180o - 50o = 130o
ACB
130o/2
= 65o

ACD + ACB = 180o[sum of ∠s on a straight line]
ACD + 65o = 180o
ACD = 180o - 65o = 115o

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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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