4x,(2x+15),(5x-30),(x+3) find the value of x
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Step-by-step explanation:
Since the sum of angle in a triangle =180 degrees.
4x+(5x-15)+(2x+30)=180
4x+5x-15+2x+30=180
4x+5x+2x-15+30-180=0
11x-165=0
11x=165
x=165/11
x=15 degree
Get the value of each angle by substituting x=15 for each angles given.
4x=4(15)=60 degrees
(5x-15)=5(15)-15=75-15=60 degrees
(2x+30)=2(15)+30=30+30=60 degrees.
Since each angles are equal to 60 degrees, then it shows that the triangle is an equilateral triangle because all angles are the same or equal. This is because equal angle is one of the qualities of equilateral triangle.
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