Question types

Triangle And lts 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 lts Angles questions

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

Q 1MCQ(1M)1 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:
  • $x = 55^\circ , y = 40^\circ$
  • B
    $x = 50^\circ , y = 45^\circ$
  • C
    $x = 60^\circ , y = 35^\circ$
  • D
    $x = 35^\circ , y = 60^\circ$

Answer: A.

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Q 3MCQ(1M)1 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 $\angle\text{BOC}=$
  • A
    $60^\circ$
  • $120^\circ$
  • C
    $150^\circ$
  • D
    $30^\circ$

Answer: B.

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Q 5MCQ(1M)1 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 $\angle\text{ACB}=$
  • A
    $35^\circ$
  • B
    $90^\circ$
  • $70^\circ$
  • D
    $55^\circ$

Answer: C.

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Q 213 Mark 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 Mark 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 Mark 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 264 Mark Question4 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 294 Mark Question4 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 304 Mark Question4 Marks
If the side BC of $\triangle\text{ABC}$ is produced on both sides, then write the difference between the sum of the exterior angles so formed and $\angle\text{A}.$
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Q 315 Mark Question5 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 325 Mark Question5 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 335 Mark Question5 Marks
In Fig. the sides BC, CA and AB of a triangle ABC have been produced to D, E and F respectively. If $\angle\text{ACD}=105^\circ$ and $\angle\text{EAF}=45^\circ,$ find all the angles of the triangle ABC.
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Q 345 Mark Question5 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 355 Mark Question5 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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