Pre-Algebra, Unit 13 Practice Test:

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Pre-Algebra, Unit 13 Practice Test: Angle Relationships in Triangles and Parallel Lines

1.

Fill in the blanks: a.

The sum of the measures of the three angles of every triangle is ________. b.

c.

The sum of the measures of one set of exterior angles is ________. The sum of the measures of an interior angle of a triangle and its corresponding exterior angle is _________ because the angles are _____________________________. 2.

3.

4.

Use the picture below to identify (by name) the relationship for each pair of angles.

∠ 11 π‘Žπ‘›π‘‘ ∠ 14 ________________________ ∠ 9 π‘Žπ‘›π‘‘ ∠ 7 ________________________ ∠ 4 π‘Žπ‘›π‘‘ ∠14 ________________________ ∠ 7 π‘Žπ‘›π‘‘ ∠12 ________________________ ∠12 + ∠13 π‘Žπ‘›π‘‘ ∠ 5 ___________________ ∠9 + ∠ 10 + ∠ 11 ______________________ (SE)

Use the picture above:

if π‘šβˆ 12 = 60Β° and π‘šβˆ 14 = 80Β° , find the measure of each of the following angles.

π‘šβˆ 1 = ____________ π‘šβˆ 3 = ____________ π‘šβˆ 9 = ___________ π‘šβˆ 11 = ___________ π‘šβˆ 2 = ____________ π‘šβˆ 6 = ____________ π‘šβˆ 10 = ___________ (SE) In the diagram, 𝐴𝐡 and 𝐢𝐷 intersect at 𝐸 and 𝐴𝐢 Μ…Μ…Μ…Μ….

If π‘šβˆ πΆ = 58Β° and π‘šβˆ π΅ = 35Β°, what is the π‘šβˆ π΅πΈπ·? π‘šβˆ π΅πΈπ· = _______________ Pre-Algebra Practice Test Unit 13: Angle Relationships in Triangles & Parallel Lines Revised 2015 - NVACS Page

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5.

(SE) Which if the following facts proves that A.

∠6 β‰… ∠3 B.

∠6 β‰… ∠1 C.

∠1 β‰… ∠5 D.

∠1 β‰… ∠8 6.

(SE) In 

ABC

, 3

x

20 , 2

x

𝑙 1 βˆ₯ 𝑙 2 ?

40 , and 3

x

24 (A) 15 ο‚° (B) 17 ο‚° (C) 30 ο‚° (D) 75 ο‚° 7.

(SBAC) Right triangle

DAC

and right triangle

CBD

overlap as shown. What are the values of

x

and

y

? Show your work! . What is the

A

 ?

B

π‘₯ = _______________ 𝑦 = _______________

D x

35Β°

NOT DRAWN TO SCALE

y

40Β°

C

8.

(SE) A flag is being designed (as shown to the right). The stripe is to be constructed so that it is parallel to the top and bottom of the flag. The triangular portion is in the shape of an equilateral triangle. You must determine the measure of 

x

to show that the stripe is indeed parallel to the sides. Justify your answer.

x

Pre-Algebra Practice Test Unit 13: Angle Relationships in Triangles & Parallel Lines Revised 2015 - NVACS Page

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