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Triangle Angles 2 - Sample Math Practice Problems

The math problems below can be generated by MathScore.com, a math practice program for schools and individual families. References to complexity and mode refer to the overall difficulty of the problems as they appear in the main program. In the main program, all problems are automatically graded and the difficulty adapts dynamically based on performance. Answers to these sample questions appear at the bottom of the page. This page does not grade your responses.

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Complexity=5, Mode=numSupp

Find the value of 'x'. Diagrams are not always to scale.
1.   x =
2.   x =

Complexity=8, Mode=varSupp

Find the value of 'x'. Diagrams are not always to scale.
1.   x =
2.   x =

Complexity=10, Mode=distAng

Find the value of 'x'. Diagrams are not always to scale.
1.   x =
2.   x =

Complexity=20

Find the value of 'x'. Diagrams are not always to scale.
1.   x =
2.   x =

Answers


Complexity=5, Mode=numSupp

Find the value of 'x'. Diagrams are not always to scale.
#ProblemCorrect AnswerYour Answer
1 x =
Solution
The two angles form a line so they are supplementary angles.
The sum of supplementary angles is 180 degrees.
80 + x = 180
x = 180 - 80
x = 100
#ProblemCorrect AnswerYour Answer
2 x =
Solution
The two angles form a line so they are supplementary angles.
The sum of supplementary angles is 180 degrees.
65 + x = 180
x = 180 - 65
x = 115

Complexity=8, Mode=varSupp

Find the value of 'x'. Diagrams are not always to scale.
#ProblemCorrect AnswerYour Answer
1 x =
Solution
The two angles form a line so they are supplementary angles.
The sum of supplementary angles is 180 degrees.
5x + 13x = 180
18x = 180
18x ÷ 18 = 180 ÷ 18
x = 10
#ProblemCorrect AnswerYour Answer
2 x =
Solution
The two angles form a line so they are supplementary angles.
The sum of supplementary angles is 180 degrees.
10x + 26x = 180
36x = 180
36x ÷ 36 = 180 ÷ 36
x = 5

Complexity=10, Mode=distAng

Find the value of 'x'. Diagrams are not always to scale.
#ProblemCorrect AnswerYour Answer
1 x =
Solution
The angle marked as 50 degrees forms a line with the angle next to it. They are supplementary angles.
Let y be this supplementary angle.
50 + y = 180
y = 180 - 50 = 130

The angles of a triangle add up to 180 degrees..
x + 130 + 28 = 180
x + 158 = 180
x = 22
#ProblemCorrect AnswerYour Answer
2 x =
Solution
The angle marked as 41 degrees forms a line with the angle next to it. They are supplementary angles.
Let y be this supplementary angle.
41 + y = 180
y = 180 - 41 = 139

The angles of a triangle add up to 180 degrees..
x + 139 + 23 = 180
x + 162 = 180
x = 18

Complexity=20

Find the value of 'x'. Diagrams are not always to scale.
#ProblemCorrect AnswerYour Answer
1 x =
Solution
The two angles form a line so they are supplementary angles.
The sum of supplementary angles is 180 degrees.
29 + x = 180
x = 180 - 29
x = 151
#ProblemCorrect AnswerYour Answer
2 x =
Solution
The angle marked as 46 degrees forms a line with the angle next to it. They are supplementary angles.
Let y be this supplementary angle.
46 + y = 180
y = 180 - 46 = 134

The angles of a triangle add up to 180 degrees..
x + 134 + 33 = 180
x + 167 = 180
x = 13
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