. Yo. Find his gan The angles of a triangle are (2x)°, (3x+5)° and (4x -14)°. Find the x. and also measure of each angle of triangle
Answers
Answer:
We know
Sum of all interior angles of a triangle are supplementary, that is 180°
therefore
here,the angles are
2x,3x+5,4x-14
substituting the values
2x+3x+5+4x-14=180
9x-9=180
9x=180+9=189
x=189÷9
x=21
therefore the angles are
2x=2×21=42°
3x+5=3×21+5=68°
4x-14=4×21-14=70°
Let's check whether it's correct or not
2x+3x+5+4x-14=180
42+68+70=180
180=180
L.H.S=R.H.S
hence verified
Answer: Sum of all interior angles of a triangle are supplementary, that is 180°
therefore
here,the angles are
2x,3x+5,4x-14
substituting the values
2x+3x+5+4x-14=180
9x-9=180
9x=180+9=189
x=189÷9
x=21
therefore the angles are
2x=2×21=42°
3x+5=3×21+5=68°
4x-14=4×21-14=70°
Let's check whether it's correct or not
2x+3x+5+4x-14=180
42+68+70=180
180=180
L.H.S=R.H.S
hence verified
Step-by-step explanation: Hope It Helps You :)
Thanks