Question

A triangle has angles measuring 2x°, x° and x°. Write an equation that can be solved to find the value of x. Then, find the measure of each angle, in degrees.

Answer 1

The three angles of a triangles are 90° , 45°, 45°

∠A = 90° , ∠B = 45° and ∠C = 45°

Explanation:

Explanation:-

Step(i):-

The sum of measures of three angles of any triangle is equal to 180°

Let A , B , C be the angles of the triangle.

∠A +∠B +∠C = 180°

Given data a triangle has angles measuring 2x°, x° and x°

2x°+ x° + x° = 180°

4x° = 180

x° =
`(180)/(4) = 45`

x = 45°

Step (ii):-

Given data 2x = 2 × 45 = 90°

x = 45°

and x = 45°

The three angles of a triangles are 90° , 45°, 45°

∠A = 90° , ∠B = 45° and ∠C = 45°

Final answer:-

The three angles of a triangles are 90° , 45°, 45°

∠A = 90° , ∠B = 45° and ∠C = 45°