Question

Find x, if the angles of a triangle are: (i) x°, x°, x° (ii) x°, 2x°, 2x°

Answer 1

QUESTION :

Find x, if the angles of a triangle are:

(i) x°, x°, x°

(ii) x°, 2x°, 2x°

ANSWER :

1. the angles of the triangle are x°,x° and x°

so by angle sum property of a triangle

x°+x°+x°=180

so 3x=180

X=60°

so the angles of the triangle will be 60°,60° and 60°

so the triangle will be an equilateral triangle whose all sides and angles are equal

2. the angles of the triangle are x°,2x° and 2x°

so by angle sum property of a triangle

x°+2x°+2x°=180

so 5x=180

X=36°

so the angles of the triangle will be 36°,72° and 72°

so the triangle will be an isosceles triangle whose two sides are equal and angle opposite to the sides are also equal