Note: Your teacher will grade your responses to questions 4–8 to ensure you receive proper credit for your answers.

A star-patterned quilt has a star with the angles shown. What is the value of x? The diagram is not to scale.

A five-pointed star is formed when two congruent right triangles overlap. The top triangle formed to make the top point of the star has two labeled angles. Its top angle is labeled 24 degree-sign, and its right base angle is labeled x degree-sign. The third angle of this triangle is unlabeled, but its exterior angle is labeled 105 degree-sign.
(1 point)

The value of x is 57 degrees.