abc is an isosceles triangle with ab=ac if a=70 then find b
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Answer:
b= c
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Answered by
3
Answer:
- The required measure of ∠B = 55°
Given:
- ∆ABC is isosceles with AB = AC.
- ∠A = 70°
Need to find:
- The required measure of ∠B = ?
Solution:
Since ∆ABC is isosceles with AB = AC
- ∠B = ∠C [Angle opposite to equal sides of a triangle are equal]
By angle sum property, We have:-
- ∠A + ∠B + ∠C = 180°
➜ 70 + ∠B + ∠B = 180°
- [ ∠A = 70° given, ∠B = ∠C ]
➜ 2∠B = 180° - 70°
➜ 2∠B = 110°
➜ ∠B = 110°/2
➜ ∠B = 55°
Therefore:
- The required measure of ∠B is 55°.
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