CTET PAPER II 2021 · PYQ · Triangle Angle Properties · medium
In ΔABC, the side AB is produced to E and side CA is produced to D. If ∠BAD = 125° and ∠EBC = 100°, then which of the following is true?
A.ΔABC is an isosceles triangle.
B.AB > BC
C.Difference between ∠ABC and ∠ACB is 35°✓ Correct
D.Difference between ∠BAC and ∠ACB is 20°
Explanation
∠BAD is the exterior angle at A on the extension of CA, so ∠BAC = 180° − 125° = 55°. ∠EBC is the exterior angle at B, so ∠ABC = 180° − 100° = 80°. By angle sum, ∠ACB = 180° − 55° − 80° = 45°. Difference between ∠ABC and ∠ACB = 80° − 45° = 35°. Hence option (3) is correct.
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