मराठी

In a δAbc, If Ab = Ac and ∠B = 70°, Find ∠A. - Mathematics

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प्रश्न

In a ΔABC, if AB = AC and ∠B = 70°, find ∠A. 

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उत्तर

Consider , ΔABC we have `∠B=70^@` and AB =AC 
Since, AB A C  ABC is an isosceles triangle
⇒ ∠B=∠C      [Angles opposite to equal sides are equal]

⇒`∠B = ∠C = 70^@` 

And also,
Sum of angles in a triangle `180^@` 

⇒ `∠A+∠B+∠C=180^@` 

⇒`∠A+70^@+70^@=180^@` 

⇒`∠A+140^@=180^@` 

⇒`∠A=180^@-140^@⇒∠A=40^@` 

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पाठ 12: Congruent Triangles - Exercise 12.1 [पृष्ठ १५]

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आरडी शर्मा Mathematics [English] Class 9
पाठ 12 Congruent Triangles
Exercise 12.1 | Q 5 | पृष्ठ १५

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