if one of the angles of a triangle is 144 degrees, what would be

if one of the angles of a triangle is 144 degrees, what would be
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if one of the angles of a triangle is 144 degrees, what would be the angle between the bisector of the other two angles?

A. 126°

B. 108°

C. 162°

D. 90°

Please scroll down to see the correct answer and solution guide.

Right Answer is: C

SOLUTION

 a + b + 144 = 180°

⇒ a + b = 36°

Further,

\(\frac{a}{2}\; + \;\frac{b}{2}\; + \;c\; = \;180\)

⇒ c = 180 - \(\frac{{a\; + \;b}}{2}\)

⇒ c = 180 – 18

⇒ c = 162°

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