The side BC of AABC is produced to D. The bisectors of ∠ABC and ∠ACD meet at E. If AB = AC and LBEC 35°, then the measure of ∠ ABC will be:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 55°
Given that
∠ BCE = 35º
According to same base triangle theorem
∠ BAC = 2 * ∠ BCE = 2 * 35 = 70º
Given AB = AC then ∠ ABC = ∠ BCA = (180 - 70)/2 = 55º