Unit 3.5

2. Through a point not on a line, there is one and
only one line parallel to the given line.
l
 There is exactly one line through P parallel to l.

3. The sum of the measures of the angles of a
triangle is 180°
m∠A + m∠B + m∠C = 180 °
A
C B

4. Find the missing angle measure.
58
39
83
35
24
18

5. Find the measures of the missing
angles 1, 2, and 3.

6. Exterior Angle of a Polygon –
Remote Interior Angles -
Is an angle
formed by a side and an extension of an
adjacent side
for each exterior
angle of a triangle, the two nonadjacent
interior angles.
2
1 3
1
3
2
Remote
Interior
Angles
Exterior
Angle
Exterior
Angle

7. 78
50 1
110 62
2

8. x
70
70
x 140
25
33
x

9. Find the measure of each numbered angle in the figure.
m 3 = 120 - 52 = 68
Exterior Angle Theorem
m 2 = 180 - 128 = 52
Supplementary Angles
m 1 = 50 + 78 = 128
Exterior Angle Theorem
m 4 = 180 - 120 = 60
Supplementary Angles
m 5 = 60 + 56 = 116
Exterior Angle Theorem

10. Find the measure of each numbered angle in the figure.

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