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Question -

In a triangle, an exterior angle at a vertex is 95┬░ and its one of the interior opposite angle is 55┬░, then the measure of the other interior angle is
(a) 55┬░
(b) 85┬░
(c) 40┬░
(d) 9.0┬░



Answer -

In тИЖABC, BA is produced to D such that тИаCAD = 95┬░
and let тИаC = 55┬░ and тИаB = x┬░
┬а
тИ╡ Exterior angle of a triangle is equal to the sum of its opposite interior angle
тИ┤ тИаCAD = тИаB + тИаC тЗТ 95┬░ = x + 55┬░
тЗТ x = 95┬░ тАУ 55┬░ = 40┬░
тИ┤ Other interior angle = 40┬░ (c)

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