Question : In a triangle $\triangle \mathrm{PQR}$, the bisectors of $\angle \mathrm{P}$ and $\angle \mathrm{R}$ meet at a point $\mathrm{M}$ inside the triangle. If the measurement of $\angle P M R=127^{\circ}$, then the measurement of $\angle Q$ is:
Option 1: 90°
Option 2: 74°
Option 3: 180°
Option 4: 106°
New: SSC CHSL tier 1 answer key 2024 out | SSC CHSL 2024 Notification PDF
Recommended: How to crack SSC CHSL | SSC CHSL exam guide
Don't Miss: Month-wise Current Affairs | Upcoming government exams
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: 74°
Solution : $\angle PMR = 90° +\frac{1}{2} \angle Q$ ⇒ $\angle Q = 2(\angle PMR-90° )$ ⇒ $\angle Q = 2(127° -90° )$ ⇒ $\angle Q = 2\times 37° $ ⇒ $\angle Q = 74° $ Hence, the correct answer is 74°.
Candidates can download this e-book to give a boost to thier preparation.
Result | Eligibility | Application | Admit Card | Answer Key | Preparation Tips | Cutoff
Question : If in $\triangle PQR$ and $\triangle DEF, \angle P=52^{\circ}, \angle Q=74^{\circ}, \angle R=54^{\circ}, \angle D=54^{\circ}, \angle E=74^{\circ}$ and $\angle F=52^{\circ}$, then which of the following is correct?
Question : In $\triangle \mathrm{PQR}, \angle \mathrm{P}=46^{\circ}$ and $\angle \mathrm{R}=64^{\circ}$.If $\triangle \mathrm{PQR}$ is similar to $\triangle \mathrm{ABC}$ and in correspondence, then what is the value of $\angle \mathrm{B}$?
Question : It is given that $\triangle \mathrm{PQR} \cong \triangle \mathrm{MNY}$ and $PQ=8\ \mathrm{cm}, \angle Q = 55°$ and $\angle P = 72°$. Which of the following is true?
Question : O is the incentre of the $\triangle \mathrm{PQR}$. If $\angle \mathrm{POR}=120°$, then what is the $\triangle \mathrm{PQR}$?
Question : If the angles $P, Q$ and $R$ of $\triangle PQR$ satisfy the relation $2 \angle R-\angle P=\angle Q-\angle R$, then find the measure of $\angle R$.
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile