Question

If in a triangle ABC, AB = AC, ∠A = x + 15°, ∠B = 2x + 25° then value of ∠C

Answer 1

Answer:

<C=71°

Step-by-step explanation:

given:- AB=AC

then <B=<C

We know that

<A+<B+<C=180°

given <A=x+15°

< B=2x+25° and <C=2x+25°

then,

<A+<B+<C=180°

x+15°+2x+25°+2x+25°=180°

5x+65°=180°

5x=115°

x=23°

<A=x+15°=23°+15°=38°

<B=2x+25°=2(23°)+25°=46°+25°=71°

<C=2x+25°=2(23°)+25°=46°+25°=71°