Math, asked by sunilrathore5578, 1 year ago

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 Anonymous
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 Anonymous
11
\underline \bold{Solution:-}

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°

x =  \frac{180}{3}  \\  \\ x = 60

Therefore,


First angle = 180°

Second angle = 60°

Third angle = 60°

Fourth angle = 60°
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