Quadrilaterals Test

Result

Quadrilaterals Test - 3

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Weekly Quiz Competition

Question 1
1 / -0

If the measures of the interior angles of a quadrilateral are in the ratio 3 : 4 : 5 : 6, find the measure of its largest angle.

A
60^o

B
120^o

C
90^o

D
30^o

Solution

The interior angles of a quadrilateral are in the ratio 3 : 4 : 5 : 6
3x + 4x + 5x + 6x = 360^o
18x = 360^o
x = 20^o
The largest angle 6x = 6 × 20° = 120^o
Question 2
1 / -0

In a quadrilateral, the measures of angles are in the ratio 1 : 4 : 3 : 2. The difference between the measures of the greatest and the smallest angles of the quadrilateral is

A
108°

B
54°

C
180°

D
360°

Solution

Suppose the angles are x, 4x, 3x and 2x.

Now, x + 4x + 3x + 2x = 10x = 360°

x = 36°

Thus, the smallest angle = 36° and the largest angle = 144°

Difference = 144° - 36° = 108°
Question 3
1 / -0

Two adjacent sides of a parallelogram are 6 cm and 7 cm. Its perimeter is

A
26 cm

B
36 cm

C
12 cm

D
none of these

Solution

Two adjacent sides of the parallelogram are 6 cm and 7 cm.
Perimeter = 2(6 cm + 7 cm) = 2 × 13 cm = 26 cm.