SAT OwlQuestion bank / Geometry and Trigonometry
SAT Lines, angles, and triangles practice questions
Lines, angles, and triangles is one of the skills tested in the Geometry and Trigonometry domain of the Digital SAT Math section. Below are 15 free practice questions sorted from easy to hard. Open one to answer it and see the explanation.
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Question 1
In the xy-plane, parallel lines and m are intersected by transversal t. Two of the angles formed are same-side interior EasyQuestion 2
In triangle PQR, the measure of angle P is 48^ and the measure of angle Q is 67^. What is the measure of angle R?EasyQuestion 3
Two angles are complementary. If one of the angles measures 28^, what is the measure, in degrees, of the other angle?EasyQuestion 4
Points A, B, and C lie on a line, with B between A and C. Point D does not lie on the line. The measure of angle ABD is EasyQuestion 5
At the same time of day, a 6-foot-tall person casts a shadow 4.5 feet long and a tree casts a shadow 30 feet long. The pEasyQuestion 6
Two lines intersect, forming four angles. One of the angles measures 38^. What is the measure of an angle that forms a lEasyQuestion 7
Two lines intersect at a point, forming two pairs of vertical angles. One angle measures (3x + 10)^, and the angle vertiMediumQuestion 8
In triangle ABC, AB = AC. The measure of angle A is (2x)^, and the measure of angle B is (x + 15)^. What is the measure,MediumQuestion 9
What is the measure of each interior angle of a regular hexagon?MediumQuestion 10
Two parallel lines are cut by a transversal. Two alternate interior angles formed have measures (4x + 6)^ and (6x - 24)^MediumQuestion 11
In triangle ABC, the exterior angle at vertex C measures 130^. The measure of angle A is 20^ greater than the measure ofMediumQuestion 12
In triangle ABC, point D lies on AB and point E lies on AC such that DE is parallel to BC. If AD = 6, DB = 9, and the arHardQuestion 13
In triangle ABC, point D lies on CA and point E lies on CB. Angle CDE is congruent to angle CBA, but DE is not parallel HardQuestion 14
Two sides of a triangle have lengths 7 and 12. If the length of the third side is an integer, how many different lengthsHardQuestion 15
In triangle ABC, the measure of angle B is 70^ and the measure of angle C is 40^. The bisector of angle A intersects BC Hard
In the xy-plane, parallel lines and m are intersected by transversal t. Two of the angles formed are same-side interior EasyQuestion 2
In triangle PQR, the measure of angle P is 48^ and the measure of angle Q is 67^. What is the measure of angle R?EasyQuestion 3
Two angles are complementary. If one of the angles measures 28^, what is the measure, in degrees, of the other angle?EasyQuestion 4
Points A, B, and C lie on a line, with B between A and C. Point D does not lie on the line. The measure of angle ABD is EasyQuestion 5
At the same time of day, a 6-foot-tall person casts a shadow 4.5 feet long and a tree casts a shadow 30 feet long. The pEasyQuestion 6
Two lines intersect, forming four angles. One of the angles measures 38^. What is the measure of an angle that forms a lEasyQuestion 7
Two lines intersect at a point, forming two pairs of vertical angles. One angle measures (3x + 10)^, and the angle vertiMediumQuestion 8
In triangle ABC, AB = AC. The measure of angle A is (2x)^, and the measure of angle B is (x + 15)^. What is the measure,MediumQuestion 9
What is the measure of each interior angle of a regular hexagon?MediumQuestion 10
Two parallel lines are cut by a transversal. Two alternate interior angles formed have measures (4x + 6)^ and (6x - 24)^MediumQuestion 11
In triangle ABC, the exterior angle at vertex C measures 130^. The measure of angle A is 20^ greater than the measure ofMediumQuestion 12
In triangle ABC, point D lies on AB and point E lies on AC such that DE is parallel to BC. If AD = 6, DB = 9, and the arHardQuestion 13
In triangle ABC, point D lies on CA and point E lies on CB. Angle CDE is congruent to angle CBA, but DE is not parallel HardQuestion 14
Two sides of a triangle have lengths 7 and 12. If the length of the third side is an integer, how many different lengthsHardQuestion 15
In triangle ABC, the measure of angle B is 70^ and the measure of angle C is 40^. The bisector of angle A intersects BC Hard