The angles of a triangle are 38 degree and 2 x + 20 degree and 5 x minus 30 degree find the angles hence show that the triangle is an equilateral triangle
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Answer:USING ANGLE SUM PROPERTY :
38+(2x+20)+(5x-30)=180
38+2x+20+5x-30=180
28+7x=180
7x=180-28
7x=152
x=21
All the angles are :
3x=3×20=60
2x+20=2×20+20=40+20=60
5x-40=5×20-40=100-40=60
All the angles are of 60° therefore it is an equilateral triangle
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