in an isosceles triangle each base angle is 4 times off its Vertical angle find all the angles of a triangle
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Sum of three angles of a triangle
=180°
x+x+4x=180°
6x=180°
x=180/6
x=30°
4x=30×4
=120°
Base angles=30°,30°
Vertical angle=120°
Answered by
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Hi Mate!!!
Isosceles triangle:- Is the trangle whose two sides and two angles are equal.
Let the equal angles or base angles be = X
And the other angle or vertical angle be = y
According to the question
X = 4y
,
X = 4y
And
X + Y + X = 180. { Angle sum property}
2X + X / 4 = 180
X = 80
And
Y = 20
So, angles are
80 , 80, 20
Isosceles triangle:- Is the trangle whose two sides and two angles are equal.
Let the equal angles or base angles be = X
And the other angle or vertical angle be = y
According to the question
X = 4y
,
X = 4y
And
X + Y + X = 180. { Angle sum property}
2X + X / 4 = 180
X = 80
And
Y = 20
So, angles are
80 , 80, 20
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