Question : $\triangle ABC$ is an isosceles triangle with AB = AC. If $\angle BAC=50^\circ$, then the degree measure of $\angle ABC$ is equal to:
Option 1: $70^\circ$
Option 2: $55^\circ$
Option 3: $60^\circ$
Option 4: $65^\circ$
New: SSC CHSL Tier 2 answer key released | 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: $65^\circ$
Solution : Given: $\triangle ABC$ is an isosceles triangle with AB = AC. $\angle BAC=50^\circ$ We know that the other two angles are the same in an isosceles triangle. Let the other two angles be $x$. The sum of the angles of a triangle is $180^\circ$ So, $50^\circ+x+x=180^\circ$ ⇒ $2x=130^\circ$ $\therefore x=65^\circ$ Hence, the correct answer is $65^\circ$.
Candidates can download this e-book to give a boost to thier preparation.
Result | Eligibility | Application | Admit Card | Answer Key | Preparation Tips | Cutoff
Question : $ABC$ is an isosceles triangle with $AB = AC$, The side $BA$ is produced to $D$ such that $AB = AD$. If $\angle ABC = 30^{\circ}$, then $\angle BCD$ is equal to:
Question : In an isosceles triangle, if the unequal angle is five times the sum of the equal angles, then each equal angle is:
Question : In $\Delta ABC$, the external bisector of the angles, $\angle B$ and $\angle C$ meet at the point $O$. If $\angle A = 70^\circ$, then the measure of $\angle BOC$:
Question : If in a $\triangle ABC$, as drawn in the figure, $AB = AC$ and $\angle ACD = 120^{\circ}$, then angle A is equal to:
Question : In a triangle ABC, two angles A and B are equal. If the exterior angle is at $\angle A = 115°$, find the measure of $\angle C$.
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile