Question

In the figure, ABC is a triangle in which AB = AC. Find x° and y°. X+48°

Answer 1

Given that ABC is a triangle in which AB = AC. Expression for three angles are x° , y° and X+48°.

AB=AC means sides AB and AC are equal and we know that equal sides of the triangle corresponds to equal angle

then ∠B=∠C

Picture is missing so we can't identify which of the given angles are B and C

Since two angles are equal and we know that x and x+48 are not equal

So it is possible that ∠B=x and ∠C=y

plug them into ∠B=∠C

x=y

or y=x

We know that sum of all three angles of the triangle is 180 degree

A+B+C=180

(x+48)+x+x=180

x+48+x+x=180

3x+48=180

3x=132

x=44

y=x=44

x+48=44+48=92

Hence three angles of the triangle are 44°, 44°, 92°.