CEMC Fermat, 2003

Geometry Difficulty 3.0 AMC 10/12 Find the answer Canada

In the diagram, $AMN$ , $APQ$ , $QRM$ , and $PRN$ are all straight lines. The value of $a + b$ is

(A) $70$ (B) $55$ (C) $80$ (D) $90$ (E) $75$

Figure for this problem

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