(1.7) Angles and their Measures

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Expectation
Identify the parts of and
appropriately label angles.
Find the measure of and identify the
type of angles.
Find unknown angle measurements
using the Angle Addition Postulate.
Meets
Expectation
Almost Meets
Expectation
Does Not
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Expectation
Teacher Comment

MEASURING AND CLASSIFYING ANGLES

Find the measure of the angle. Then classify the angle.

Create an angle based on the given measurement.
(1)
m∠ABC = 76°
(2)
m∠JKL = 103°
(3)
m∠RST = 90°
(4)
m∠VWX = 175°

(1)
In the coordinate plane, plot the points and sketch ∠ABC. List the coordinates of a
point that lies in the exterior of the angle and list the coordinates of a point that lies
in the interior of the angle.
A: (–5, –4)
B: (–3, 0)
C: (1, –4)
(2)
A: (–5, 0)
B: (–1, –4)
C: (4, 2)
Exterior Point:
Exterior Point:
Interior Point:
Interior Point:

Use the Angle Addition Postulate to find the missing angle measurement.
(1)
m∠CDF = __________
(2)
m∠PQR = __________

(3)
(4)
(5)
Find the value of x and the unknown measurements.
(6)
Q is in the interior of ∠ROS . S is in the interior of ∠QOP . P is in the interior of
∠SOT . m∠ROT = 127°, m∠SOT = 71°, and m∠ROQ = m∠QOS = m∠POT .
Make a sketch and find all missing angle measurements.
m∠QOP = __________
m∠QOT = __________
m∠ROQ = __________
m∠SOP = __________

Using a protractor, accurately plot five points, A, B, C, D, and E, so that all three
statements are true.
(7)
∠DBE is a straight angle.
∠DBA is a right angle.
∠ABC is a straight angle.
(8)
C is in the interior of ∠ADE.
m∠ADC + m∠CDE = 120°.
∠CDB is a straight angle.

Use a compass and straightedge to find the angle bisector.

Use a compass and straightedge to find the angle bisector.

(1)
(2)
(3)
In the diagram, BT is the angle bisector of ∠ABC. Find the value of x. Then find
the measurements of all three angles.
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