Quadrilaterals Test

Result

Quadrilaterals Test - 5

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Weekly Quiz Competition

Question 1
1 / -0

If one angle of a quadrilateral is 126° and the rest are in ratio 6 : 4 : 3, then what will be the sum of the first and second angles if arranged in ascending order?

A
126°

B
135°

C
156°

D
180°

Solution

Let the angles be 6x, 4x and 3x.
As sum of angles of a quadrilateral is 360°;
126° + 13x = 360°

Accordingly, x = 234 ÷ 13 = 18°
The angles will be:

3x = 3 × 18 = 54°
4x = 4 × 18 = 72°
6x = 6 × 18 = 108°

Given angle = 126°

Ascending order = 54°, 72°, 108°, 126°
Sum of the first and second angles = 54 + 72 = 126°