WS Angle Measure

Honors Geometry
WS Angle Measure
Name ______________________________
Activity 1
1. Give another name for <1.
2. Name the vertex of < EBD.
3. Does <ABE appear to be acute, obtuse, right, or straight?
4. If m<DBF = 35, what is the measure of <EBF?
5. Name a pair of opposite rays.
6. Name a point in the interior of <EBF.
7. Name three angles with
In the figures,
and
as a side.
are opposite rays and
bisects <PXS. Find the value of x and each indicated angle.
8. m<SXT = 4x + 1, m<QXS = 2x – 2,
m<QXT = 125, m<QXS = ?
10. m<PXR = 3x, m<RXT = 5x + 20, m<RXT = ?
9. m<RXQ = x + 15, m<RXS = 5x – 7,
m<QXS = 3x + 5, m<RXS = ?
11. m<RXQ = 2x + 7, m<RXP = 3x – 11,
m<PXS = x + 37, m<QXS = ?
13. m<TXS = x +3, m<SXR = 2x + 9, m<RXP = 4x – 7, m<PXS = ?
Honors Geometry
WS Angle Measure
Name ______________________________
Draw and label.
14. <ABC, 90°
15. Obtuse, <2
16. Acute, <X
17. Straight angle XYZ
Activity 2
18. Given ray AX is the angle bisector of <CAB. Name two angles that have equal measure. _________ _________
19. Draw angle ABC with angle bisector BD. Indicate which angles are congruent.
20. <C = 68°. If <C is bisected, the measure of the two angles formed are _____________ and _____________.
21.
bisects <DAB. <BAC = ___
22.
bisects <DAB. <BAC = 2x – 10, <CAD = x + 30, x = ___, <BAC = ___
23.
bisects <WXY. <WXZ = 3x – 12, <ZXY = x + 18, x = ___, <WXY = ___
24.
bisects <EFG. <EFH = 2x + 32, <GFH = 4x – 10, x = ___, <EFG = ___
25.
bisects <ABC. <ABC = 2x + 70, <ABD = 2x – 15, x = ___, <ABC = ___
26.
bisects <CAB. <CAB = 2x + 50, <CAX = 4x – 11, x = ___, <XAB = ___
Honors Geometry
WS Angle Measure
Name ______________________________
Activity 3
27. Provide an explanation as to why the word “linear” is used to name a linear pair of angles.
28. True or False. If false, give a counterexample. “Both complementary and linear pairs have a sum of 180°.”
29. Describe the difference between complementary and supplementary angles.
30. Describe the difference between the complement of an angle and the supplement of an angle.
31. Adjacent angles are angles that share a common _____________.
32. Vertical angles are _____________.
Find the measure of the complement and the supplement for each angle.
33. 38 C = ____
S = ____
34. 110C = ____
S = ____
35. 63 C = ____
S = ____
36. X
S = ____
C = ____
Find the value of x and the measure of each angle.
37.
38.
39.
40.
41.
42.

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