Unknown Angles
What is x?
Angle Relationships
Key concepts
Extras
100
Find the measure of <t
152
100
What must x equal if a is parallel to b?
x = 23
100
Are angle <E and angle <F corresponding angles?
No
100
Same side interior angles have a congruent relationship. True or False
False
100
Alternate exterior angles relationship is _____________
congruent
200
What is the measurement of the angle?
135 degrees
200
What must x equal if g is parallel to h?
x = 12
200
What type of angles are <B and <E?
Alternate Exterior
200
How many angles are created when two parallel lines are cut by a transversal?
8
200
Fill in the blank
Similar figures have the ________ shape and __________ size.
same, different
300
<6 = 148 degrees
<5 = 32 degrees
What is <3 measure?
148 degrees
300
What must x equal if line a is parallel to line b?
x = 34
300
Which angles are congruent to ∠6?
∠4, ∠2, ∠8
300
∠u and ∠v are ______________ angles.
Alternate interior
300
What kind of relationship does angles is <H and <I have?
Supplementary
400
The measure of ∠4 is 75°. What is the
measure of ∠7?
105 degrees
400
In the figure, a, b, and c are parallel lines. What is the value of x?
m<5 = 85 degrees
m<12 = (x + 31) degrees
x = 64
400
If x = 25, could you conclude that lines c and d are parallel? If yes, explain the relationship; if no, explain why not?
No, because the 75° angle and the angle with measure 3x + 15 are corresponding angles. If you plug in 25 for x, the angle measure would be 90, which would not be congruent with 75 degrees.
400
For the given figure, can you conclude m is parallel to n? YOU MUST EXPLAIN WHY OR WHY NOT?
No, because the angles are alternate interior angles which should be congruent
400
Write an equation that will make line m parallel to line n? No need to solve the equation.
3x + 34 = 79
500
What is the measurement of the angles?
113 degrees
500
In the figure, a, b, and c are parallel lines. What is the value of x?
m<8 = 72 degrees
m<11 = (x + 28) degrees
x = 80
500
If m∠1 = 95°, write an equation that could be
used to find the measure of ∠8, then find m∠8.
m∠8 + 95 = 180
m∠1 = 85
500
1. Adjacent (Next to each other) angles relationship: _________________
2. Opposite angles relationship: ______________
1. Supplementary
2. Congruent
500
The figure shows the design of a rectangular window pane. Note that all horizontal lines are parallel. The measure of <15 is 120 degrees. The measure of <16 is 60 degrees. Find the measure of <5.
120 degrees