Find the number of degrees in angle B?I. AC < BCII. Angle BCD = 100°III. Angle A + Angle B + Angle C = 180°IV. AB = BCV. ABC is an isosceles triangle Which two statements are sufficient to answer the question?

Explanation

Option C is correct as the information is to find the angle at B(ii) states that Angle BCD= 100° i.e Angle BCA= 180°-100° =80°(as angle on a straight line =180°)If AB=BC,then the triangle is isosceles which means that both these lines would have the same angle i.e BAC=80° alsoSum of triangle =180°Angle ABC+BAC+BCA=180°Angle ABC+80+80=180°180-160=20°Angle at `b=20°The information provided is sufficient to find the angle at BAll the other options does not provide sufficient information to find the angle at B