Question
Download Solution PDFIf in a triangle ABC as drawn in the figure, AB = AC and ∠ACD = 130°, then ∠BAC is equal to:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
AB = AC
∠ACD = 130°
Concept Used:
Linear Pair Theorem
Angle sum Property = Sum of all the angles of the triangle is 180°.
Calculation:
In triangle ABC,
∠ACD + ∠ACB = 180° (Linear Pair)
∠ACB = 180 - 130 = 50°
Since, AB = AC,
Triangle ABC is an isosceles triangle.
∠ACB = ∠ABC = 50°
Apply Angle Sum Property,
∠ACB + ∠ABC + ∠BAC = 180°
∠BAC = 180 - (50 + 50)
∠BAC = 80°
∴ Option 4 is the correct answer.
Last updated on Jul 10, 2025
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