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If AB=AC and angle A=100 , …

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If AB=AC and angle A=100 , find angle B

Posted by Jesh Solanki 1 year, 6 months ago

CBSE > Class 09 > Mathematics

1 answers

Shubham Kumar Gupta 1 year, 6 months ago

Here, Given that ABC is a triangle. And ∠A = 100°, Also AB = AC. We know that if the two adjacent sides of a triangle is equal, then there opposite angles are also equal to each other. Now, ∵ AB = AC ∴ ∠B = ∠C = x (say). Now, we know that sum of all angles of a triangle is 180°, ∴ ∠A + ∠B + ∠C = 180° ; 100° + x° + x° = 180° ; 100° + 2x° = 180° ; 2x° = 180° - 100° ; 2x° = 80° ; x° = 80° ÷ 2 ; x° = 40°. Since, we know that x° = ∠B, Therefore ∠B = 40°.

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Posted by Kulsum Farhan 11 hours ago

CBSE > Class 09 > Mathematics