Question 67

The measures of the four angles of a quadrilateral are in the ratio 1:2:3:4. What is the measure of the biggest angle?

Solution

Let the four angles of the quadrilateral be $$x , 2x , 3x$$ and $$4x$$

Sum of internal angles of a quadrilateral = 360°

=> $$x + 2x+3x+4x = 360$$°

=> $$10x=360$$°

=> $$x=\frac{360}{10}=36$$°

$$\therefore$$ Biggest angle = $$4x=4\times 36=144$$°

=> Ans - (B)

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