Engage and Persevere The measure of ∠A in △ABC is twice the measure of ∠B , and the measure of ∠C is 20° less than the measure of ∠B . What are the measures of the angles in △ABC ?
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Answer:
A = 100
B = 50
C = 30
Step-by-step explanation:
You can make this equation to solve:
2x+x+x-20=180
4x-20=180
+20 +20
4x=200
divide both sides by 4
200/4 = 50
x=50, B = x = 50
2x = 100 = A
x-20 = 30 = C