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) 54° d) 72°

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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