Question

In an isosceles triangle ABC,AB=AC and angle A =30degrees . Find angle B and angle C​

Answer 1

In triangle ABC

AB=AC

angle B= angle C =x( as angle opposite to equal sides are equal)

we know that

sum of interior angle of triangle is equal to 180 degrees

therefore

angleA + angleB + angleC= 180

30 + x + x = 180 ( angleA =30, given)

2x=180-30

x=150/2=75

therefore,

angleB = angleC= x=75 degrees

Answer 2

Answer:

75

Step-by-step explanation:

given ; ab=ac

angle C= angle B [theorem 1]

SO WE CONSIDER angle B=angle C=X

in triangle ABC

<A+<B+<C=180 DEGREE

<A+X+X=180

30+2X=180

2X=180-30

2X=150

X=150/2

X=75

X=<B=<C=75

SO, <B AND<C = 75 DEGREE