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° = [tex]\frac{180}{4} = 45[/tex]
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°
