Quadrilaterals Test

Result

Quadrilaterals Test - 4

Score
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Rank
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Weekly Quiz Competition

Question 1
1 / -0

In quadrilateral GSTU, if ∠G = 90° and ∠S : ∠T : ∠U = 3 : 3 : 4, then what will be the sum of the smallest and the largest angle?

A
179°

B
189°

C
191°

D
193°

Solution

Let ∠S, ∠T and ∠U be 3x, 3x and 4x, respectively.

Now, according to the angle sum property of a quadrilateral,

∠G + ∠S + ∠T + ∠U = 360°
90° + 3x + 3x + 4x = 360°
10x = 270°
x = 27°

So,
∠G = 90°
∠S = 3x = 81°
∠T = 3x = 81°
∠U = 4x = 108°

Sum of the smallest and the largest angle = 81 + 108 = 189°