Question

# One angle of a quadrilateral is 100°. What is the sum of the remaining three angles of the quadrilateral?

Solution

## Let the first angle of the quadrilateral be $\angle$1, second angle be $\angle$2, third angle be $\angle$3 and fourth angle be $\angle$4 We know that the sum of the angles of a quadrilateral is 360° ∴ m $\angle$1 + m $\angle$2 + m $\angle$3 + m $\angle$4 = 360°     ⇒m $\angle$2 + m $\angle$3 + m $\angle$4 = 360° $-$ 100°  = 260o Therefore, sum of the remaining three angles of the quadrilateral = 260oMathematicsMathematicsStandard VII

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