Quadrilaterals Test

Result

Quadrilaterals Test - 4

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Question 1
1 / -0

The angles of a quadrilateral are 75°, 90° and 75°. The fourth angle is

A
90°

B
95°

C
105°

D
120°

Solution

Let the fourth angle be x.

We know that,

Sum of angles of a quadrilateral = 360°

75° + 90° + 75° + x = 360°

x + 240° = 360°

x = 120°

Hence, D is the correct answer.
Question 2
1 / -0

ABCD is a parallelogram in which diagonal AC bisects ∠BAD. If ∠BAC = 35°, then ∠ABC =

A
70°

B
110°

C
90°

D
120°

Solution

Given: ABCD is a parallelogram

AC is a bisector of angle BAD

∠BAC = 35°

∠A = 2 ∠BAC

∠A = 2 (35°)

∠A = 70°

∠A + ∠B = 180° (Adjacent angles of parallelogram are supplementary)

70 + ∠B = 180°

∠B = 110^o

Hence, B is the correct answer.
Question 3
1 / -0

If angles of a quadrilateral are in the ratio 1:2:3:4, then find the largest angle of quadrilateral.

A
144°

B
164°

C
148°

D
154°

Solution

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

Now, sum of angles of a quadrilateral = 360°

Therefore,

x + 2x + 3x + 4x = 360°

10x = 360°

x = 36°

Largest angle = 4x = 4 × 36° = 144°

Hence, A is the correct answer.
Question 4
1 / -0

A parallelogram whose all sides are equal and whose each angle is 90° is called

A
Rectangle

B
Square

C
Trapezium

D
Kite

Solution

A square is a parallelogram whose all sides are equal, and each of the angle is 90°.

Hence, B is the correct answer.