Question

If in A ABC, AB = AC and ZABC = 65°, then ZBAC is equal to
(a) 70
(b) 65
(c) 50
(d) 130

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Answer 1

Answer:

(c)50°

Step-by-step explanation:

In ΔABC,

AB=AC

∴ ∠ABC = ∠ACB .......................(Angles opposite to equal sides are equal)

∴ ∠ABC = ∠ACB = 65°

Now,

In ΔABC,

∠ABC + ∠ACB + ∠BAC = 180°.......................(Property of triangle)

∴ 65° + 65° + ∠BAC = 180°

∴ 130° + ∠BAC = 180°

∴ ∠BAC = 180°-130°

∴ ∠BAC=50°

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