Common Core 8.G.A.5 worksheet

Question 1

Corresponding angles are (3x + 10)° and (5x − 30)°. Find x.

Answer 

Question 2

An exterior angle of a triangle is (4x − 9)°. The two opposite interior angles are x° and 81°. Find x.

Answer 

Question 3

In a triangle the two opposite interior angles are (x + 6)° and (2x + 11)°. The exterior angle is 83°. Find x.

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Question 4

The angles of a triangle are x, 2x and 3x. What is the largest angle, in degrees?

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Question 5

The angles of a triangle are (2x − 6)°, (x + 27)° and (3x + 93)°. Find x.

Answer 

Question 6

A transversal crosses two parallel lines. Two angles are between the parallel lines, on the same side of the transversal. What are they called?

• A. alternate exterior
• B. corresponding
• C. alternate interior
• D. co-interior (same-side interior)

Question 7

What is each exterior angle of a regular polygon with 20 sides?

Answer 

Question 8

Elena wants to draw a regular polygon with interior angles of 100°. Is that possible?

• A. Yes
• B. No

Question 9

A 7-sided polygon has angles 131°, 131°, 127°, 129°, 133°, 131° and x°. Find x.

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Question 10

What is each interior angle of a regular polygon with 6 sides, in degrees?

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Question 11

What is each interior angle of a regular octagon? Round to 1 decimal place if needed.

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Question 12

Co-interior angles on parallel lines are (2x + 2)° and (x + 112)°. Find x.

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Question 13

In a triangle, one angle is 100°, another is (2x + 0)° and the third is (x + 5)°. What is the size of the largest angle?

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Question 14

Alternate angles on parallel lines are (4x + 3)° and 123°. Find x.

x = 

Question 15

A triangle has all three sides equal. What type of triangle is it?

• A. equilateral
• B. right-angled
• C. scalene
• D. isosceles

Question 16

Two parallel lines are cut by a transversal. One angle is 39°. What is its alternate interior partner?

Answer