Question

Help me please

Answer 1

This is an isosceles triangle since two sides of the triangle are congruent, same measure. In an isosceles triangle the angles opposite the equal sides are also congruent, same measure.

Since the sum of the angles in a triangle is 180 degrees, subtract the known angle. Since the remaining two angles are congruent, <BCA=<BAC, we can write the sum of these two angles as 2 times <BCA or 2<BCA.

So we have this equation:

180-130 = 2<BCA
50=2<BCA
50/2=<BCA
25=<BCA

So angle BCA is 25 degrees.