Question

in the given figure, ABC is an isosceles triangle with AB= AC and A=50,B is equal to​

Answer 1

Answer:

Step-by-step explanation:

The Angle B = 40°

Explanation :

Given that,

∆ABC is an isoceles triangle .

◾AB = AC .

◾Measure of Angle A = 50°

★ Consider as -

◾The Angle A & B as - x.

We know that :

The base angles of an Isosceles triangle are Same, Equal.

So,

We also know that :

The sum of the angles of a triangle is 180°

So,

Now,

Hence,

The angle B is equal to 65° (Option => D)

★ Points to Remember -

◾The base angles of an Isosceles triangle are Same, Equal.

◾The sum of the angles of a triangle is 180°

★ Pythagorean theorem -

◾The area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.

◾We can write it as -

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Answer 2

Step-by-step explanation:

Angle c= angle b = 75

B=C(base angles of the isosceles triangle.)

AngleA + AngleB +AngleC =180

(Angle sum  property)

A=50

B=C (base angle of isosceles triangle)

So, 50+B+C=180

      50+B+B=180(B=C)

      50+2B=180

      2B=180-50

       B=130/2

        B= 65 = C