ISEE Middle Level
Mathematics Achievement

Finding the Measure of an Angle at Intersection

Hard Geometry Lines And Angles

Consider the following scenario in a geometric figure. Two lines, line $A$ and line $B$, intersect at point $P$, forming four angles. One of the angles, angle $APB$, measures $x$ degrees. The angles adjacent to angle $APB$ are angle $BPC$ and angle $APD$. If angle $BPC$ measures $50^{ ext{o}}$ and angle $APD$ measures $80^{ ext{o}}$, determine the measure of angle $APB$.

Recall that the sum of the angles around point $P$ must equal $360^{ ext{o}}$.

Hint

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