Download App

Circles — MATHS STD 9 — Question

Rajasthan BoardEnglish MediumSTD 9MATHSCircles1 Mark
✓

Answer

  1. 70°.
    Solution:
    In $\triangle\text{ADB},$ we have
    $\angle\text{A}+\angle\text{B}+\angle\text{D}=180^\circ$ [Angle sum property of a triangle]
    $\Rightarrow60^\circ+50^\circ+\angle\text{D}=180^\circ$
    $\Rightarrow\angle\text{D}=180^\circ-110^\circ=70^\circ$
    i.e., $\angle\text{ABD}=70^\circ$
    Now, $\angle\text{ACB}=\angle\text{ADB}=70^\circ$
    [$\because$ Angles in the same segment of a circle are equal]
    Hence, (c) is the correct answer.

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 Circles→Circles — all question types→MATHS STD 9 question papers→Rajasthan Board STD 9 question papers→Rajasthan Board question paper generator→

Similar questions

In $\angle\text{ABC}$ and $\angle\text{DEF},$ AB = DE and $\angle\text{A} = \angle\text{D}.$ Then, the two triangles will be congruent by SAS axiom if:
→
The largest sphere is cut off from a cube of side 6cm. The volume of the sphere will be:
→
If $(3^3)^2 = 9^x$ then $5^x =$ ?
→
The figure formed by joining the mid-points of the adjacent sides of a rectangle is a:
→
The bisects of exterior angles at B and C of $\triangle\text{ABC}$ meet at O. If $\angle\text{A}=\text{x}^\circ,$ then $\angle\text{BOC}=$
→
A polygon is a closed figure made up of:
→
The value of $\frac{4\sqrt{12}}{12\sqrt{27}}$ is:
  1. $\frac{1}{9}$
  2. $\frac{2}{9}$
  3. $\frac{4}{9}$
  4. $\frac{8}{9}$
→
In $\triangle\text{ABC}$ and $\triangle\text{PQR},$ AB = PR and $\angle\text{A} = \angle\text{P}.$ Then, the two triangles will be congruent by SAS axiom if:
→
Two complementary angles are such that two times the measure of one is equal to three times the measure of the other. The measure of the smaller angle is:
  1. 45°
  2. 30°
  3. 36°
  4. None of these
→
In the class intervals 10-20, 20-30, 20 is taken in:
→