One angle of a quadrilateral is of 180 degree and the remaining 3 angles are equal. Find each of the 3 equal angles
Answers
Answered by
6
Given
Let all angle of quadrilateral are = w,x,y,z,
One angle of a quadrilateral = 180°
So
X = 180°
W=Y=Z
So
We all know sum of all angle of quadrilateral = 360°
=> w+x+y+z
=>3z+180°=360°
=>3z=180°
=>z=60°
So w=y=z
=>
Y=60°, w=60°,z=60°
VERIFICATION = >
W+X+Y+Z=360°
60°+180°+60°+60°=360°
360°=360°
Ans verify
Answered by
11
One angle = 180°
Other three angles of that quadrilateral are equal.
Therefore,
let,
Second angle = third angle = fourth angle = x.
The sum of all the angles of the quadrilateral is 360°.
i.e.,
Sum of all angles = 360°
180° + x + x + x = 360°
180° + 3x = 360°
3x = 360° - 180°
3x = 180°
Therefore,
First angle = 180°
Second angle = 60°
Third angle = 60°
Fourth angle = 60°
Similar questions