Measure of Angles Formed by Intersecting Lines

Very Hard Geometry Lines And Angles

In the figure below, two lines, $l_1$ and $l_2$, intersect to form angles at point $P$. Let the measure of angle $APB$ be $x$ degrees, where angle $APB$ is adjacent to angle $BPC$, which measures $2x + 10$ degrees. Additionally, angle $APC$ measures $40$ degrees. What is the value of $x$?

Quantity A is greater than Quantity B.

Quantity A is less than Quantity B.

Quantity A is equal to Quantity B.

The relationship cannot be determined from the information given.

Hint

Submitted12.8K

Correct8.9K

% Correct69%