Alpha, Beta and Gamma are inner angles in a triangle.
Alpha, Beta and Gamma are inner angles in a triangle. If Alpha = Beta + Gamma, what can't be the size of Beta?
Answer/Solution
90 degrees.
Steps/Work
Given Alpha = Beta + Gamma, and Alpha, Beta and Gamma are inner angles in a triangle. Thus Alpha + Beta + Gamma = 180
Beta + Gamma + Beta + Gamma = 180 => 2(Beta + Gamma) = 180 => Beta + Gamma = 90. Thus beta will be less than 90.
Hence the answer is D.
Beta + Gamma + Beta + Gamma = 180 => 2(Beta + Gamma) = 180 => Beta + Gamma = 90. Thus beta will be less than 90.
Hence the answer is D.