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Triangle And Its Angles MATHS - Triangle And Its Angles

Rajasthan Board (RBSE) - STD 9 - MATHS (Rajasthan - English Medium). 91 questions in this chapter.

Question types

Triangle And Its Angles question types

91 questions across 7 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.

91
Questions
7
Question groups
5
Question types
Sample Questions

Triangle And Its Angles questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 1M.C.Q1 Mark
In Fig. AB and CD are parallel lines and transversal EF intersect them at P and Q respectively. If $\angle\text{APR}=25^\circ,\angle\text{RQC}=30^\circ$ and $\angle\text{CQF}=65^\circ,$ then:
  1. x = 55º, y = 40º
  2. x = 50º, y = 45º
  3. x = 60º, y = 35º
  4. x = 35º, y = 60º
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Q 2M.C.Q1 Mark
In Fig. if $l_1 || l_2,$ the value of $x$ is:
  • A
    $22\frac{1}{2}$
  • B
    $30^\circ$
  • ✓
    $45^\circ$
  • D
    $60^\circ$

Answer: C.

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Q 3M.C.Q1 Mark
In a $\triangle\text{ABC},$ if $\angle\text{A}=60^\circ,\angle\text{B}=80^\circ$ and the bisectors of $\angle\text{B}$ and $\angle\text{C}$ meet at O, then $\angle\text{BOC}=$
  1. 60º
  2. 120º
  3. 150º
  4. 30º
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Q 5M.C.Q1 Mark
In $\triangle\text{ABC},\angle\text{B}=\angle\text{C}$ and ray AX bisects the exterior angle $\angle\text{DAC}.$ If $\angle\text{DAX}=70^\circ$ then $\angle\text{ACB}=$
  1. 35º
  2. 90º
  3. 70º
  4. 55º
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Q 213 Marks Question3 Marks
The exterior angles, obtained on producing the base of a triangle both ways are $104^\circ$ and $136^\circ$ . Find all the angles of the triangle.
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Q 233 Marks Question3 Marks
In a $\triangle\text{ ABC},\text{ AD}$ bisects $\angle\text{A}$ and $\angle\text{C} > \angle\text{B}.$. Prove that $\angle\text{ADB} > \angle\text{ADC}.$
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Q 253 Marks Question3 Marks
Two angles of a triangle are equal and the third angle is greater than each of those angles by 30º. Determine all the angles of the triangle.
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Q 265 Marks Questions5 Marks
In a $\triangle\text{ABC},$ the internal bisectors of $\angle\text{B}$ and $\angle\text{E}$ meet at P and the external bisectors of $\angle\text{B}$ and $\angle\text{C}$ meet at Q. Prove that $\angle\text{BPC}+\angle\text{BQC}=180^\circ.$
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Q 275 Marks Questions5 Marks
In $\triangle\text{ABC},$ if bisectors of $\angle\text{ABC}$ and $\angle\text{ACB}$ intersect at O at angle of 120°, then find the measure of $\angle\text{A}.$
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Q 285 Marks Questions5 Marks
In Fig. $\text{AM}\perp\text{BC}$ and AN is the bisector of $\angle\text{A}.$ If $\angle\text{B}=65^\circ$ and $\angle\text{C}=33^\circ,$ find $\angle\text{MAN}.$
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Q 295 Marks Questions5 Marks
ABC is a triangle. The bisector of the exterior angle at B and the bisector of $\angle\text{C}$ intersect each other at D. Prove that $\angle\text{D}=\frac{1}{2}\angle\text{A}.$
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Q 314 Marks Questions4 Marks
In the given figure, if $\text{AB }||\text{ DE}$ and $\text{BD }||\text{ FG}$ such that $\angle\text{FGH}=125^\circ$ and $\angle\text{B}=55^\circ,$ find x and y.
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Q 324 Marks Questions4 Marks
In the given figure, side BC of $\triangle\text{ABC}$ is produced to point D such that bisectors of $\angle\text{ACD}$ meet at a point E. If $\angle\text{BAC}=68^\circ,$ find $\angle\text{BEC}.$
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Q 334 Marks Questions4 Marks
If the angles A, B and C of $\triangle\text{ABC}$ satisfy the relation B − A = C − B, then find the measure of $\angle\text{B}.$
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Q 344 Marks Questions4 Marks
ABC is a triangle in which $\angle\text{A}=72^\circ,$ the internal bisectors of angles B and C meet in O. Find the magnitude of $\angle\text{BOC}.$
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Q 354 Marks Questions4 Marks
In the given figure, if $\text{AB }||\text{ CD},\text{EF }||\text{ BC},\angle\text{BAC}=65^\circ$ and $\angle\text{DHF}=35^\circ,$ find $\angle\text{AGH}.$
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