. In right triangle ABC, ?A = 90° and ?C is 18° less than twice the measure of ?B. What is the measure of ?B? A) 18° B) 36° C) 5
4° D) 72°
2 answers:
Answer: 72°
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180°
let the measure of B be x, then C = 2x - 18
the sum of the 3 angles is therefore
x + 2x - 18 + 90 = 180
3x + 72 = 180 ( subtract 72 from both sides )
3x = 108 ( divide both sides by 3 )
x = 36
Hence ∠B = 36°
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