Question types

Triangle And Its Angles question types

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

186
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:
  • $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 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 $\angle\text{BOC}=$
  • A
    $60^\circ$
  • $120^\circ$
  • C
    $150^\circ$
  • D
    $30^\circ$

Answer: B.

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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 $\angle\text{ACB}=$
  • A
    $35^\circ$
  • B
    $90^\circ$
  • $70^\circ$
  • D
    $55^\circ$

Answer: C.

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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 $30^\circ$. Determine all the angles of the triangle.
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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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In $\triangle\text{ABC},$ if bisectors of $\angle\text{ABC}$ and $\angle\text{ACB}$ intersect at $O$ at angle of $120^\circ ,$ then find the measure of $\angle\text{A}.$
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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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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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$ABC$ 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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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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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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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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