The angles of a triangle are 4x°, (2x + 30) and (5x – 15)°. Find the angles and then show
that the triangle is an equilateral triangle.
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Answer:
Step-by-step explanation:
The Sum of all angles in triangle is always equal to 180°
4x + 2x+30+5x-15 = 180°
11x+15 = 180
11x = 180-15
11x = 165
x = 15°.
The angles are 4*15, (2*15+30), (5*15 - 15) = 60°, 60°, 60°
Since all the angles are equal in the triangle it is called equilateral triangle.
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