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7. ABC is a right angled triangle in which ZA=90°and AB = AC. Find zB and Z C.​

Answer»

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Given ,

AB = AC

=> ∠C=∠B ( Angles Opposite to EQUAL sides are equal ) ........(i)

In △ABC,

∠A+∠B+∠C=180°(ANGLE Sum PROPERTY)

=> 90°+∠B+∠C=180°(Given that∠A=90°)

=> 90°+∠B+∠B=180° (From (i))

=> 2∠B=90°

=> ∠B=45°

∴∠B=∠C=45°

✿ 45° ✿


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