Solve Triangles Angle Sum Exterior Angles

Quiz
•
Mathematics
•
9th - 11th Grade
•
Hard
Standards-aligned
Barbara White
FREE Resource
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt

Tags
CCSS.8.G.A.5
2.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt

Tags
CCSS.8.G.A.5
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt

Answer explanation
Method 1: Use the exterior angle theorem. You have the exterior angle (117°), so if you take away one remote interior angle (81°), you'll get the other one.
117 - 81 = b
Method 2: Find angle a since its a linear pair (180-117 = 63°). Then since angles in a triangle add to 180, you know 81° + 63° + b = 180, and you can solve for b.
Tags
CCSS.8.G.A.5
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
95°
85°
35°
45°
Answer explanation
Since all the angles add to 180, you can subtract 110 and 25 from 180.
180 - 110 - 25 = ___
Tags
CCSS.8.G.A.5
5.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt

Answer explanation
Use the exterior angle theorem to set up the equation shown in the picture (12x + 9x = 105).
Combine like terms (21x = 105).
Divide both sides by 21.
x = 5
Tags
CCSS.8.G.A.5
6.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Answer explanation
Use the exterior angle theorem to set up the equation shown to the left (3x+19 + 5x = 115).
Combine like terms to get
8x + 19 = 115
Subtract 19 from both sides.
8x = 96
Dived both sides by 8.
x = 12
Tags
CCSS.8.G.A.5
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
145°
113°
102°
78°
Answer explanation
Tags
CCSS.8.G.A.5
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