Question

A student when asked to measure two exterior angles of AABC observed that the exterior angles at A
and B are of 103° and 74° respectively. Is this possible? Why or why not?​

Answer 1

Step-by-step explanation:

• We know exterior angle and triangular interior angle = 180°.
• 103 + Angle A = 180°.
• Angle A = 180 - 103 = 77°
• 74 + Angle B = 180°.
• Angle B = 180 - 74 = 106°.
• Sum of the triangle = 180°.
• Angle A + Angle B + Angle C = 180°.
• Angle A + Angle B = 183° > 180°.
• No, This triangle is not possible.