Download App

Lines and Angles — MATHS STD 9 — Question

Rajasthan BoardEnglish MediumSTD 9MATHSLines and Angles1 Mark
Question
Two straight lines AB and CD intersect one another at the point O. If $\angle\text{AOC}+\angle\text{COB}+\angle\text{BOD}=274^\circ,$ then $\angle\text{AOD}=$
✓

Answer

  1. 86°
    Solution:

    $\angle\text{AOC}+\angle\text{COB}+\angle\text{BOD}+\angle\text{AOD}=360^\circ\dots(1)$
    Now,
    $\angle\text{AOC}+\angle\text{COB}+\angle\text{BOD}=274^\circ\dots(2)$ [Given]
    From (1) and (2).
    $274^\circ+\angle\text{AOD}=360^\circ$
    $\Rightarrow\ \angle\text{AOD}=360^\circ-274^\circ$
    $\Rightarrow\ \angle\text{AOD}=86^\circ$

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 Lines and Angles→Lines and Angles — all question types→MATHS STD 9 question papers→Rajasthan Board STD 9 question papers→Rajasthan Board question paper generator→

Similar questions

Which one of the following statements is false?
  1. Only one line can pass through a single point.
  2. Two circles are equal when their radii are equal.
  3. A figure formed by line segments is called a rectilinear figure.
  4. A terminated line can be produced indefinitely on both the sides.
    →
    The radii of two cylinders are in the ratio 2 : 3 and their heights are in the ratio 5 : 3. The ratio of their curved surface areas is
    →
    In the given figure if $OA = 5\ cm, AB = 8\ cm$ and $OD$ is perpendicular to $AB,$ then $CD$ is equal to:
    →
    In the given figure, $\angle\text{BPC}=19^\circ,$ arc AB = arc BC = arc CD, Then, the measure of $\angle\text{APD}$ is:
    →
    The perimeter of a rhombus is $146\ cm.$ One of its diagonals is $55\ cm$. The length of the other diagonal and area of the rhombus are:
    →
    $4a^2 + b^2 + 4ab + 8a + 4b + 4 =?$
    →
    Short Answer Questions. In the adjoining figure, BDEF and AFDE are parallelograms. Is AF = FB? Why or why not?  
    →
    If a solid sphere of radius 10cm is moulded into 8 spherical solid balls of equal radius, then the surface area of each ball (in sq.cm) is:
    →
    →
    In the following, write the correct answer.It is given that $\triangle\text{ABC}=\triangle\text{FDE}$ and AB = 5 cm, $∠\text{B} = 40°$and $∠\text{A} = 80°$then which of the following is true?
    1. $\text{DF}=5\text{CM}, \angle\text{F}=60^{\circ}$
    2. $\text{DF}=5\text{CM}, \angle\text{E}=60^{\circ}$
    3. $\text{DE}=5\text{CM}, \angle\text{E}=60^{\circ}$
    4. $\text{DE}=5\text{CM}, \angle\text{D}=40^{\circ}$
    →