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1970 AMC 12 Question 30

AMC12 · 1970 AMC 12

Question 30

In the accompanying figure, segments $AB$ and $CD$ are parallel, the measure of angle $D$ is twice that of angle $B,$ and the measures of segments $AD$ and $CD$ are $a$ and $b,$ respectively. Then the measure of $AB$ is equal to:

Question illustration
  1. $\tfrac12a+2b$
  2. $\tfrac32b+\tfrac34a$
  3. $2a-b$
  4. $4b-\tfrac12a$
  5. $a+b$