Stacey went to six different auto repair shops to get the following estimates to repair her car.
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Answer:
The three angles of a triangles are 90° , 45°, 45°
∠A = 90° , ∠B = 45° and ∠C = 45°
Step-by-step explanation:
<u>Explanation</u>:-
<u><em>Step(i)</em></u>:-
The sum of measures of three angles of any triangle is equal to 180°
<em>Let A , B , C be the angles of the triangle.</em>
<em>∠A +∠B +∠C = 180°</em>
Given data a triangle has angles measuring 2x°, x° and x°
<em>2x°+ x° + x° = 180°</em>
<em>4x° = 180</em>
<em>x° = </em><em />
x = 45°
<em><u>Step (ii)</u></em><u>:-</u>
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°
<u>Final answer</u>:-
The three angles of a triangles are 90° , 45°, 45°
∠A = 90° , ∠B = 45° and ∠C = 45°
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