The angles of a triangle are 4x°, (2 X + 30 )° and (5x -15)°. find the angles and then show that the triangle is an equilateral triangle
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Answer:
4x + 2x+30 + 5x-15 = 180° (angle sum property)
(add like terms)
11x +15 = 180°
(use transposition method)
11x=180-15
11x = 165°
x = 165/11 = 15
Each angle=
4x = 15x4
= 60°
2x+30 = (15x2)+30
= 30+30
= 60°
5x-15 = (15x5)-15
=75-15
= 60°
This triangle is an equilateral triangle because all angles are equal and measure 60°.