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Free SAT Lines, angles, and triangles practice questionsdigital SAT, 2026 format

Angle relationships inside triangles and around parallel lines cut by a transversal, plus proportional sides in similar triangles.

Answer each question, then read why the right answer is right and why the tempting one is wrong.

Question 1

Math
85°110°70°x°

Note: figure not necessarily drawn to scale.

In the quadrilateral shown, what is the value of x?

Question 2

Math
2x°3x°4x°

Note: figure not necessarily drawn to scale.

In the triangle shown, the interior angles measure 2x°, 3x°, and 4x°. What is the value of x?

Question 3

Math

In triangle PQR, the measure of angle P is twice the measure of angle Q, and the measure of angle R is 30° more than the measure of angle Q. What is the measure of angle P?

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