Question : The exterior angles obtained on producing the base of a triangle both ways are 121
Option 1: 75
Option 2: 76
Option 3: 74
Option 4: 66
Correct Answer:
76
Solution :
First exterior angle = 121
Second exterior angle = 104
The sum of all the exterior angles of a triangle is 360
Let the three interior angles be A, B, and C and the third exterior angle be x
⇒ 121
⇒ x = 360
⇒ x = 135
Largest interior angle = supplement of smallest exterior angle
Smallest exterior angle = 104
Measure of the largest angle of the triangle = 180
Hence, the correct answer is 76
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