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

Answer:

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

∠A =  90° , ∠B = 45° and ∠C = 45°

Step-by-step 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° = $\frac{180}{4} = 45$

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°