Question

The sum of 2 angles of a triangle is 160 degree and their difference is 24 degree.find all the angles of the triangle

Answer 1

Let the angles of the triangle be x°,y° and z°.

We know that in a triangle the sum of the three angles is equal to 180°.

Hence, x°+y°+z°=180°

160°+z°=180°

z°=20° [ x°+y°=160°(given)]

Now,it is given that x°+y°=160° and x°-y°=24°

Solving the above equations we get,

x°=92° and y°=68°