Question : The exterior angles obtained on producing the base of a triangle both ways are 121$^\circ$ and 104$^\circ$. What is the measure of the largest angle of the triangle?
Option 1: 75$^\circ$
Option 2: 76$^\circ$
Option 3: 74$^\circ$
Option 4: 66$^\circ$
Latest: SSC CGL preparation tips to crack the exam
Don't Miss: SSC CGL complete guide
Correct Answer: 76$^\circ$
Solution :
First exterior angle = 121$^\circ$
Second exterior angle = 104$^\circ$
The sum of all the exterior angles of a triangle is 360$^\circ$
Let the three interior angles be A, B, and C and the third exterior angle be x
⇒ 121$^\circ$ + 104$^\circ$ + x = 360$^\circ$
⇒ x = 360$^\circ$ - 225$^\circ$
⇒ x = 135$^\circ$
Largest interior angle = supplement of smallest exterior angle
Smallest exterior angle = 104$^\circ$
Measure of the largest angle of the triangle = 180$^\circ$ - 104$^\circ$ = 76$^\circ$
$\therefore$ The measure of the largest angle of the triangle is 76$^\circ$.
Hence, the correct answer is 76$^\circ$.
Related Questions
Know More about
Staff Selection Commission Combined Grad ...
Answer Key | Eligibility | Application | Selection Process | Preparation Tips | Result | Admit Card
Get Updates Brochure
Your Staff Selection Commission Combined Graduate Level Exam brochure has been successfully mailed to your registered email id “”.
