Question

In ∆ABC,if C=A+B/2then, find C.​

Answer 1

Sum of all angle in triangle = 180°

A + B + C = 180°

A + B = 180 - C .......... (1)

From question:-

$c = \frac{a + b}{2} \\ \\ c = \frac{180 - c}{2} \: \: \: (from \: eqn \: 1) \\ \\ 2c \: = 180 - c \\ \\ 2c + c = 180 \\ \\ 3c = 180 \\ \\ c = \frac{180}{3} \\ \\ c = 60$

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