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In a ΔABC, right-angled at A, it is given that AB = AC, ∠C is equal to ______. - Mathematics

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Question

In a ΔABC, right-angled at A, it is given that AB = AC, ∠C is equal to ______.

Options

  • 30°

  • 45°

  • 60°

  • 90°

MCQ
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Solution

In a ΔABC, right-angled at A, it is given that AB = AC, ∠C is equal to 45°.

Explanation:

Since ΔABC is right-angled at A, angles B and C add to 90°.

AB = AC means the sides opposite angles C and B are equal, so angles B and C are equal.

Two equal angles that sum to 90° must each be 45°.

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Chapter 8: Triangles - Exercise 8E [Page 184]

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Nootan Mathematics [English] Class 9 ICSE
Chapter 8 Triangles
Exercise 8E | Q 10. | Page 184
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