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This mock test of Test: Angle Relations In Parallelogram for Class 9 helps you for every Class 9 entrance exam.
This contains 15 Multiple Choice Questions for Class 9 Test: Angle Relations In Parallelogram (mcq) to study with solutions a complete question bank.
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QUESTION: 1

The diagonals AC and BD of a parallelogram ABCD intersect each other at the point O. If ∠DAC = 32°, ∠AOB = 70°, then ∠DBC is equal to:

Solution:

**Answer:**

*<DBC = 38°*

**Step-by-step explanation:**

__Given____:__

**ABCD**** ****is**** ****a**** ****parallelogram**** ****.**

**AC****,****BD**** ****diago****nals**** ****intersecting**** ****at**** ****"****O****"****.**

**<****DAC**** ****=**** ****3****2****°****,**** ****<****AOB**** ****=**** ****7****0****°**

__Proof____:__

**i****)**** ****AB****/****/****DC**** ****,**** ****AC**** ****is**** ****a**** ****transversa****l****.**

**<****DAC**** ****=**** ****<****BCA**** ****=**** ****3****2****°**

**/********* ***Alternat**e** **angles** *****/*

**ii****)**** ****In**** ****∆****B****C****O**** ****,**** ****CO**** ****exten****ded**** ****to**** ****A****.**

**Sum**** ****of ****interi****or**** ****oppo****site**** ****angles**** ****=**** ****Exterior ****angle**** ****at ****O**

**=****>**** ****<****BCA**** ****+**** ****<****OBC**** ****=**** ****<****AOB**

**=****>**** ****<BCA + <****D****BC = <AOB**

**=****>**** ****3****2****°**** ****+**** ****<****DBC**** ****=**** ****7****0****°**

**=****>**** ****<****DBC**** ****=**** ****7****0****°****-****3****2****°**

**=****>**** ****<****DBC**** ****=**** ****3****8****°**

QUESTION: 2

The opposite angles of a parallelogram are (3x – 2)° and (50 – x)° the measure of these angles is ______.

Solution:

QUESTION: 3

In parallelogram ABCD, if ∠A = 2x + 15°, ∠B = 3x – 25°, then value of x is:

Solution:

2x+15+3x-25=180

[co interior angles]

5x-10=180

5x=190

x=38

option d is right answer

QUESTION: 4

In a parallelogram the sum of two consecutive angles is

Solution:

QUESTION: 5

Bisectors of angles of a parallelogram form a

Solution:

QUESTION: 6

ABCD is a parallelogram in which ∠DAB = 75° and ∠DBC = 60°, the measure of ∠CDB and ∠ADB is

Solution:

QUESTION: 7

In a parallelogram, if diagonal PR bisects the ∠P, then it also bisects _____.

Solution:

QUESTION: 8

ABCD is a parallelogram in which the bisectors of angles ∠A and ∠B intersect at point P then ∠APB is

Solution:

QUESTION: 9

One angle of a parallelogram is 30° less than twice the smallest angle then the measure of each angle of the parallelogram is

Solution:

QUESTION: 10

Perimeter of a parallelogram is 22 cm. If the longer side, measures 6.5 cm, the measure of the shorter side will be

Solution:

QUESTION: 11

If PQRS is a parallelogram, then ∠Q – ∠S is equal to:

Solution:

QUESTION: 12

The diagonals of a rectangle PQRS intersects at O. If ∠QOR = 44°, ∠OPS =?

Solution:

QUESTION: 13

In the given figure, PQRS is a parallelogram and ∠R is 100° then ∠Q is

Solution:

QUESTION: 14

In a parallelogram ABCD, if ∠A = 75°, then ∠B = ?

Solution:

QUESTION: 15

AN and CP are perpendiculars to the diagonal BD of a parallelogram ABCD. Choose the correct option

Solution:

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