three angles of quadrilateral are 79°, 76° ,91° respectively. Find the fourth angle
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Answer:
360-(79+76+91)=114°
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Given:
The three angles of a quadrilateral
∠1 = 79°
∠2 = 76°
∠3 = 91°
To Find:
The fourth angle of the quadrilateral.
Solution:
A quadrilateral is a polygon having four sides and four vertices.
The total sum of all the internal angles of a polygon = 360°
So, ∠1 + ∠2 + ∠3 + ∠4 = 360°
Putting the given values of angles in above equation.
⇒ 79° + 76° + 91° + ∠4 = 360°
⇒ ∠4 = 360° - ( 79° + 76° + 91°)
⇒ ∠4 = 360° - 246°
⇒ ∠4 = 114°
Hence, the fourth angle of the quadrilateral is equal to 114°.
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