Practice G.5

Parallel lines m and n are intersected by transversal t. What is the value of x?

• 73

• 97

• 102

• 107

Consider the triangle and parallel lines u and v. Which statement is true?

• The equation (-9x + 13) + [3(x + 24)] = 86 can be used to solve for x, and the value of x is -3.

• The equation (-9x + 13) + [3(x + 24)] = 86 can be used to solve for x, and the value of x is -3/2.

• The equation (-9x + 13) + [3(x + 24)] + 86 = 180 can be used to solve for x, and the value of x is -3.

• The equation (-9x + 13) + [3(x + 24)] + 86 = 180 can be used to solve for x, and the value of x is -3/2.

Parallel lines v and w are intersected by transversal n. If m∠1 does not equal m∠2, which statement must be true?

• m∠1 = m∠2

• m∠1 = m∠3

• m∠1 + m∠2 = m∠3 + m∠7

• m∠1 + m∠3 = m∠4 + m∠6

Consider the figure. Which two statements must be true?

• k + m = p

• k + n = m

• k + n + p = 180

• m + n = j

• m + n + p = 180

Intersecting lines l, m, and n form a triangle. What is the value of x?

• 20

• 40

• 70

• 110

Two parallel lines, m and n, are intersected by transversal t. The measures of two angles formed are given in the diagram. What is the value of x?

• A. 13

• B. 25

• C. 78

• D. 155

Consider the figure, where transversals s and t intersect parallel lines m and n. What is the value of x?

• x = 53

• x = 57

• x = 63

• x = 67

Consider the triangle. Which equation is true?

• x = 41

• x = 68

• y = 41

• y = 112

Based on the figure shown, Sam concluded that ∠1 = ∠3. Which relationship correctly justifies Sam’s conclusion?

• ∠1 = ∠2 and ∠2 = ∠3

• ∠1 = ∠4 and ∠4 = ∠3

• ∠1 + ∠2 = 90° and ∠2 + ∠3 = 90°

• ∠1 + ∠2 = 180° and ∠2 + ∠3 = 180°

Consider the figure shown. What is the value of x?

• A. 26

• B. 39

• C. 67

• D. 78