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.If an exterior angle of a triangle is 65° and one of the opposite interior angle to it is 35° then other two angles are |
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Answer» ∠A = 30° and ∠B = 115°Step-by-step explanation:PLEASE refer to the picture below that I am using for my reference and please change the name of the ANGLES in the answer according to your markings.Given: ∠D = 65°, ∠C = 35°, ∠A=?, ∠B = ?∠A + ∠C = ∠D (Exterior ANGLE Property)∠A + 35 = 65 ( substitute from given)∠A = 65 - 35∴ ∠A = 30° -----> (1)∠A + ∠B + ∠C = 180° ( Angle Sum property)30 + ∠B + 35 = 180 ( substitute fro (1) & given)65 +∠B = 180∠B = 180 - 65∴ ∠B = 115°OR∠B + ∠D = 180 ( Linear Pair )∠B + 65 = 180∠B = 180 - 65∴ ∠B = 115°Hence ∠A = 30° and ∠B = 115°HOPE YOU LIKED MY ANSWER!!PLEASE MARK ME AS BRAINLIEST!!THANK YOU!! |
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