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Mathematics, 17.09.2021 04:50 reginaldlegette

40 points What kind of triangle is △BCD? Explain. Triangle B C D sitting on line B D. At vertex B, angle 1 is exterior to the triangle and angle 2 is interior. Together, 1 and 2 form a straight angle. At vertex C, the interior angle measure is 70 degrees. At vertex D, the interior angle is not labeled and the exterior angle has measure 130 degrees.
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Right triangle; m∠2 = 90

Isosceles triangle; m∠CDB = m∠2

Obtuse triangle; m∠CDB = 180 − 70 = 110

Acute triangle; m∠CDB = 180 − 130 = 50 and m∠2 = 180 − 70 − 50 = 60
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