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Question Number 138519 by mr W last updated on 14/Apr/21

Commented by mr W last updated on 14/Apr/21

from an arbitrary triangle ABC  points P,Q,R are constructed as  shown with α+β+γ=360°.  prove that the interior angles of  triangle PQR are (α/2),(β/2) and (γ/2)  respectively.

$${from}\:{an}\:{arbitrary}\:{triangle}\:{ABC} \\ $$$${points}\:{P},{Q},{R}\:{are}\:{constructed}\:{as} \\ $$$${shown}\:{with}\:\alpha+\beta+\gamma=\mathrm{360}°. \\ $$$${prove}\:{that}\:{the}\:{interior}\:{angles}\:{of} \\ $$$${triangle}\:{PQR}\:{are}\:\frac{\alpha}{\mathrm{2}},\frac{\beta}{\mathrm{2}}\:{and}\:\frac{\gamma}{\mathrm{2}} \\ $$$${respectively}. \\ $$

Commented by mr W last updated on 16/Apr/21

proof see Q138661

$${proof}\:{see}\:{Q}\mathrm{138661} \\ $$

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