Exam 1: Preliminary Concepts

Let and be a pair of adjacent angles for which m = 37 ° and m = 49 ° . If bisects and bisects , find m .

Points A, B, C, and D are collinear in the order A-B-C-D. If AC = 10.8 inches,BD = 7.7 inches, and BC = 3.2 inches, find AD.

Given that and   , it follows that:

If , , and , find x .

The adjacent angles shown are complementary. If m while m , find an expression for the measure of the right angle in terms of x and y .

Points A , B , and C are collinear. If AB = 12 and BC = 7, find the two possible lengths of .

If m and m , find m .

If m , m , and m , find x .

and are complementary. Also, m = 38.6 ° and and are vertical angles.Find m .

For two intersecting lines, and are a pair of vertical angles formed. Given that m and m , find the value of x .

Where and , it follows that .

If and are vertical angles with m = 2 x 5 and m = 39, then x = 17.

Points A, B, C, and D are collinear so that A-B-C-D. If AB = 7, AC = 11, and CD = 6, then AD equals:

When lines and intersect at point , it follows that .

If bisects and m = 4 x 20, then m = 2 x 20.

and are adjacent angles. Where m and m , we have and . Find m .

If B is the midpoint of line segment AC and AB = 3.6, then AC = 7.2.

If m , m , and m = 73 ° , find x .

Point M is the midpoint of . If AM = 12 and AB = 5 x 6, find x :

Suppose that and are complementary. If m and m , find x .