The angles of a quadrilateral are in the ratio 3:4:5:6. Find the angles of the quadrilateral. Options: A . &nbsp 40 ∘ , 100 ∘ , 80 ∘ , 140 ∘ B . &nbsp 60 ∘ , 80 ∘ , 100 ∘ , 120 ∘ C . &nbsp 30 ∘ , 40 ∘ , 50 ∘ , 60 ∘ D . &nbsp 10 ∘ , 20 ∘ , 30 ∘ , 40 ∘

The angles of a quadrilateral are in the ratio 3:4:5:6. Find the angles of the

Question

The angles of a quadrilateral are in the ratio 3:4:5:6. Find the angles of the quadrilateral.

Options:

A .

40^{\circ}

100^{\circ}

80^{\circ}

140^{\circ}

B .

60^{\circ}

80^{\circ}

100^{\circ}

120^{\circ}

C .

30^{\circ}

40^{\circ}

50^{\circ}

60^{\circ}

D .

10^{\circ}

20^{\circ}

30^{\circ}

40^{\circ}

Answer: Option B
:
B

The angles of a quadrilateral are in the ratio 3:4:5:6.

Let the angles of the quadrilateral be $3 x, 4 x, 5 x, 6 x$ .

The sum of the angles of a quadrilateral is $360^{\circ}$ .
$\Rightarrow 3 x + 4 x + 5 x + 6 x = 360^{\circ}$
$\Rightarrow 18 x = 360^{\circ}$
$\Rightarrow x = 20^{\circ}$

$∴ 3 x = 60^{\circ}, 4 x = 80^{\circ}, 5 x = 100^{\circ}, 6 x = 120^{\circ}$

Was this answer helpful ?

Next Question

Submit Solution

More Questions on This Topic :

Question 1. The three angles of a quadrilateral are 40∘,80∘,90∘. The fourth angle is: ....

Question 2. Which of the following is a regular quadrilateral? ....

Question 3. Quadrilateral in which only one pair of opposite sides is parallel is known as__ ....

Question 4. Area of parallelogram is the product of base and corresponding height. ....

Question 5. To determine all angles of a parallelogram, which of the following is the minimum necessary condition? ....

Question 6. If one of the angles of a parallelogram is 80°, the other non-adjacent angle is ___degrees. ....

Question 7. A diagonal of a parallelogram divides it into two congruent triangles.....

Question 8. If ABCD is a parallelogram, then which of the following is true?....

Question 9. Opposite angles of a parallelogram are equal.....

Question 10. Three angles of a quadrilateral measure 37∘, 130∘ and 53∘. Find the measure of the fourth an....37∘, 130∘ and 53∘. Find the measure of the fourth angle.

Chapter 1 - GLOBAL STEEL SCENARIO & INDIAN STEEL INDUSTRY Part 1 : (13-04-2024) INDUSTRY AND COMPANY AWARENESS (ICA)

Direction Sense Test Part 1 Reasoning (Hindi)

Chapter 1 - RMHP / OHP / OB & BP Part 1 : (14-02-2024) GPOE

Cube & Cuboid Part 1 Reasoning (Hindi)

Data Interpretation (DI) Basic Concept Reasoning (Hindi)

Counting Figures Part 1 Counting Of Straight Lines Reasoning (Hindi)

Sail E0 free webinar Webinars

Real Numbers Part 7 Class 10 Maths

Real Numbers Part 1 Class 10 Maths

Polynomials Part 1 Class 10 Maths

GPOE / GPA Combined 1 Free CBT Mock Test SAIL E0 2024

Pie Chart - Test Paper 1 Data Interpretation Reasoning & DI

Chapter 1.1 : INTRODUCTION Chapter 1 : Raw Material Handling Plant SAIL E0 - GPOE/GPA 2024

Chapter 3.1 : INTRODUCTION Chapter 3 : Sinter Plant SAIL E0 - GPOE/GPA 2024

Chapter 2.3 : COAL HANDLING PLANT - Set 1 Chapter 2 : Coke Ovens and Coal Chemicals SAIL E0 - GPOE/GPA 2024

Submit Solution

More Questions on This Topic :

Latest Videos

Latest Test Papers