ANGLE RELATIONSHIPS WITH PARALLEL LINES WORKSHEET

Find the angle x in the figure given below. Give your reason.

Problem 1 :

Solution

Problem 2 :

Solution

Problem 3 :

Solution

Problem 4 :

Solution

Problem 5 :

Solution

Problem 6 :

Solution

Problem 7 :

(a) Which angle is corresponding to angle c?

(b) Which angle is alternate to angle d?

(c) Which angle is corresponding to angle h?

(d) Which angle is vertically opposite to angle a?

(e) Which angle is alternate to angle e?

(f) Which angle is co-interior with angle c?

(g) Which angle is vertically opposite to angle h?

(h) Which angle is co-interior with angle e?

(i) Which angle is corresponding to angle a?

(j) Which angle is vertically opposite to angle g?

Solution

Problem 8 :

Find the value of the variable(s) in each figure. Explain your reasoning.

Solution

Problem 9 :

Find the value of the variable(s) in each figure. Explain your reasoning.

Solution

Problem 10 :

(Using a 3rd parallel Line – Auxilury Line)

Solution

For each set of angles name the angle pair and find the missing measurements.

Problem 1 :

Type of angle pair ______

These angles are ______

So, x = _____

Solution

Problem 2 :

Type of angle pair _____

These angles angles are ____

So, x = ____

Solution

Problem 3 :

Type of angle pair _____

These angles are _____

So, x = ___

Solution

Problem 4 :

Type of angle pair ____

These angles are _____

So, x = ____

Solution

Problem 5 :

Type of angle pair ____

These angles are _____

So, x = ___

Solution

Problem 6 :

Type of angle pair _____

These angles are ____

So, x = ____

Solution

Problem 7 :

Type of angle pair _____

These angles are ____

So, x = ____

Solution

Problem 8 :

Type of angle pair _____

These angles are ____

So, x = ____

Solution

For each set of angles name the angle pair, write the equation, solve the equation for x, and plug in x to find the missing angle measurements.

Problem 9 :

Type of angle pair ____

These angles are ____

Equation ____

x = ____

Angle Measurements = ____

Solution

Problem 10 :

Type of angle pair ____

These angles are ____

Equation ____

x = ____

Angle Measurements = ____

Solution

Problem 11 :

Type of angle pair ____

These angles are ____

Equation ____

x = ____

Angle Measurements = ____

Solution

Problem 12 :

Type of angle pair ____

These angles are ____

Equation ____

x = ____

Angle Measurements = ___

Solution

Problem 13 :

Solve for n.

Solution

Problem 14 :

Solve for x.

Solution

Problem 15 :

Find the value of x. Show your steps.

Problem 16 :

Teh figure shows a two dimensional representation of a bird made out of origami paper. Find <1 and <2. Explain your reasoning.