Question-183991

Question Number 183991 by HeferH last updated on 01/Jan/23

Commented by HeferH last updated on 01/Jan/23

I f “ I^{″} i s t h e i n c e n t e r, f i n d x

Answered by mr W last updated on 02/Jan/23

Commented by mr W last updated on 02/Jan/23

3 α = 180 - A - \frac{B}{2}

3 β = 180 - B - \frac{A}{2}

\Rightarrow 3 (α + β) = 360 - \frac{3 (A + B)}{2}

\Rightarrow α + β = 120 - \frac{A + B}{2} \dots (I)

α + β + x = 180 - \frac{A + B}{2} \dots (I I)

\Rightarrow x = 60 ° ✓

Answered by Acem last updated on 02/Jan/23

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