Download Angle Measure - Online Math Solution

Angle Measure
Angle - A figure consisting of two noncollinear rays with a common endpoint.
A
B
1
C
Acute Angle - An angle whose measure is between 0D and 90D.
A
40°
Right Angle - An angle whose measure is 90D .
A
Obtuse Angle - An angle whose measure is between 90D and 180D.
140°
A
Straight Angle - An angle whose measure is 180D .
A
Reflex Angle - An angle whose measure is between 180D and 360D.
A
240°
Congruent Angles - Angles that have the same measure.
40°
40°
A
B
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Protractor Postulate - Given AB and a number r between 0D and 180D , there is exactly one ray with endpoint A,
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extending on either side of AB, such that the measure of the angle formed is r.
Angle Addition Postulate - If R is the interior of (PQS , then m(PQR + m(RQS = m(PQS .
P
R
S
Q
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Angle Bisector - BD is the bisector of (ABC if D is in the interior of the angle and (ABD ≅ (CBD.
A
D
C
B
Directions: Refer to the figure below for questions 1 − 5.
A
B
C
F
E
1. Name two angles that have C as a vertex.
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2. If BF bisects (CBE , name two congruent angles.
3. List all the angles that have B as the vertex.
4. Name a pair of opposite rays.
5. Name the sides of (ABE.
D
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Directions: Refer to the figure below for questions 6 − 10. BA and BC are opposite rays and BD bisects (CBE.
E
D
A
B
6. If m(EBD = 3x − 4 and m(DBC = 2 x + 1, find m(EBD.
7. If m(EBC = 5 x + 6 and m(EBA = 3x + 10, find m(EBA.
8. If m(DBC = x + 4 and m(EBC = 7 x − 12, find m(EBD.
C
8. If m(DBC = x + 4 and m(EBC = 7 x − 12, find m(EBD.
9. If m(ABE = 2 x + 40 and m(EBD = 3x, find m(ABE.
10. If m(EBC is a right angle and m(DBC = 12 x + 9, find m(EBD.