Download App

Quadrilaterals — MATHS STD 9 — Question

Rajasthan BoardEnglish MediumSTD 9MATHSQuadrilaterals1 Mark
Question
In quadrilateral $\text{ABCD},$ if $\angle\text{A} = 60^\circ$ and $\angle\text{B} : \angle\text{C} : \angle\text{D} = 2 : 3 : 7,$ then $\angle\text{D}$ is:
✓

Answer

In quadrilateral, the sum of the all four angles equal to $360^\circ $. let $\angle\text{B} = 2\text{x},\ \angle\text{C} = 3\text{x}$ and $\angle\text{D} = 7\text{x}.$
$\angle\text{A} + \angle\text{B} + \angle\text{C} +\angle\text{D} = 360^\circ$
$60 + 2x + 3x + 7x = 360$
$12x = 300^\circ$
$x = 25^\circ$
So, $\angle\text{D} = 7\text{x} = 7(25^\circ) = 175^\circ$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q" from Quadrilaterals→Quadrilaterals — all question types→MATHS STD 9 question papers→Rajasthan Board STD 9 question papers→Rajasthan Board question paper generator→

Similar questions

ABCD is a parallelogram in which diagonal AC bisects $\angle\text{BAD}.$ if $\angle\text{BAC}=35^\circ,$ then $\angle\text{ABC}=$
  1. 70°
  2. 110°
  3. 90°
  4. 120°
→
The sides of a triangle are $56\ cm, 60\ cm$ and $52\ cm$ long. Then the area of the triangle is:
→
A square sheet whose perimeter is $32\ cm$ is painted at the rate of $Rs. 5$ per $m^2.$ The cost of painting is:
→
Which of the following is a solid?
→
If the length of a median of an equilateral triangle is x cm, then its area is:
  1. $\text{x}^2$
  2. $\frac{\sqrt{3}}{2}\text{x}^2$
  3. $\frac{\text{x}^2}{\sqrt{3}}$
  4. $\frac{\text{x}^2}{2}$
→
The point (other than origin) for which abscissa is equal to the ordinate will lie in quadrant.
  1. I only
  2. I or II
  3. I or III
  4. II or IV
→
If O(0, 0), A(3, 0), B(3, 4), C(0, 4) are four given points then the figure OABC is a:
  1. Square.
  2. Rectangle.
  3. Trapezium.
  4. Rhombus.
→
Write the correct answer in the following: The area of an equilateral triangle with side $2\sqrt{3} \ \text{cm}$ is:
→
The distance of the point (-3, -2) from x-axis is:
→
Given $\angle\text{POR}=3\text{x}$ and $\angle\text{QOR}=2\text{x}+10^\circ.$If POQ is a straight line, then the value of x is:
→