Download App

Lines and Angles — MATHS STD 9 — Question

Rajasthan BoardEnglish MediumSTD 9MATHSLines and Angles1 Mark
Question
Two complementary angles are such that twice the measure of the one is equal to three times the measure of the other. The larger of the two measures.
✓

Answer

  1. 54º
    Solution:
    Let the measure of the required angle be xº
    Then, the measure of its complement will be (90 - x)º
    Therefore, 2x = 3 (90 - x)
    ⇒ 2x = 270 - 3x
    ⇒ 5x = 270
    ⇒ x = 54º.

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 of the following is the value of $\big(\sqrt{11}-\sqrt{7}\big)\big(\sqrt{11}+\sqrt{7}\big)?$
→
In the given figure, O is the centre of a circle in which $\angle\text{OAB}=20^\circ$ and $\angle\text{OCB}=50^\circ.$ Then, $\angle\text{AOC}=?$
→
In the given figure, $\angle\text{OEB}=75^\circ,\angle\text{OBE}=55^\circ$ and $\angle\text{OCD}=100^\circ.$ Then $\angle\text{ODC}=?$
→
In Fig. what is z in terms of x and y?
  1. x + y + 180º
  2. x + y - 180º
  3. 180º - (x + y)
  4. x + y + 360º
→
The sides of a triangle are 11cm, 15cm and 16cm. The altitude to the largest side is:
→
The solution of equation x - 2y = 4 is:
→
$\sqrt{10}\times\sqrt{15}$ is equal to :
→
In the given figure ABCD is a trapezium in which AB || DC such that AB = acm and DC = bcm. If E and F are the midpoints of AD and BC respectively. Then, ar(ABFE) : ar(EFCD) = ?
  1. a : b
  2. (a + 3b) : (3a + b)
  3. (3a + b) : (a + 3b)
  4. (2a + b) : (3a + b)
→
The coefficient of $x^3$ in $2x + x^2 - 5x^3 + x^4$ is:
→
The simplest rationalising factor of $\sqrt[3]{500},$ is:
  1. $\sqrt[3]{2}$
  2. $\sqrt[3]{5}$
  3. $\sqrt{3}$
  4. None of these
→