Question
The ratio of the angles of a quadrilateral is 3:2:7:8. What is the sum of the largest and the smallest angle?
Solution
ATQ,
Given: Ratio of angles = 3 : 2 : 7 : 8 Sum of angles in a quadrilateral = 360° Let angles be: 3x, 2x, 7x, 8x Total = 20x = 360 ⇒ x = 18 Angles: 3x = 54°, 2x = 36°, 7x = 126°, 8x = 144° Smallest = 36°, Largest = 144° Sum = 36 + 144 = 180⁰
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