PRACTICE PROBLEMS ON ANGLES FOR SAT

Problem 1 :

In the figure above, what is the value of x?

Solution

Problem 2 :

In the figure above, AB = AC and c = 50°. What is the value of a?

A) 65       B) 70     C) 75     D) 80

Solution

Problem 3 :

In the figure above, ∠BAC = 20° and AB = AC. If triangles ACD and ADE are isosceles, what is the value of x?

A) 10       B) 15         C) 20             D) 25

Solution

Problem 4 :

In the figure above, what is the value of x?

Solution

Problem 5 :

In the figure above, AB = BC and ∠ABC = 110°. What is the value of y?

A) 125         B) 130         C) 135              D) 145

Solution

Problem 6 :

In the figure above, AB, BC, CD, DE and EA are line segments. What is the value of x + y?

Solution

Problem 7 :

In the figure above, the measure of ∠AOB is 2/5 the measure of ∠AOC. What is the value of x?

Solution

Problem 8 :

In the figure above, MN is a line. What is the value of b?

Solution

Problem 9 :

In right triangle ABC above, what is the value of y?

Solution

Problem 10 :

In the figure above, ∠BAC = 30°, ∠BCA = 45°, and AB = 8. What is the length of BC?

A) 4        B) 4√2     C) 4√3     D) 8√2

Solution

Problem 11 :

In the figure above, lines l and m are parallel and lines s and t are parallel. If the measure of ∠1 is 35°, what is the measure of ∠2?

A) 35°         B) 55°       C) 70°          D) 145°

Solution

Problem 12 :

In the figure, line m is parallel to line n, and line t intersects both lines. What is the value of x?

A) 33     B) 57    C) 123    D) 147

Solution

Problem 13 :

Two isosceles triangles are shown above. If 180 - z = 2y and y = 75, what is the value of x?

Solution