AnswersFL-1205070-MJ Grade 8 Pre-Algebra Summer 2026Solving for Unknown Angles in Triangles

Solving for Unknown Angles in Triangles Answers

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3

m∠C = 85✔ 7582120 °

A
85
B
✔ 75
C
82
D
120
5

m∠A = ✔ 21203630 °

Answers:
°:21
°:84
°:75
7

What equation can be used to find the value of x?

Answers:
Selection 1:132 = x + (3x – 24)
°:39
8

Given the diagram, which statement is not true?

A
m∠1 = (6x + 8)° because they are corresponding angles.
B
m∠1 = 74° because ∠1 is supplementary to the angle marked 106°.
C
m∠1 + (6x + 8)° + (7x – 2)° = 180° because they can form a straight line which measures 180°.
D
(7x – 2)° + m∠2 = 106° because the sum of the remote interior angles equals the exterior angle.
9

Triangle VWT is an isosceles. Which equation can be used to find the measure of∠V?

A
2x = 52
B
x + x – 52 = 180
C
180 + 52 = x + x
D
180 = 2x + 52
10

Walden was given a triangle that had 3 exterior angles labeled with expressions. Lisa was given a triangle that had an exterior angle and 2 remote interior angles labeled with expressions. Can Walden and Lisa use the same approach to find the unknown angles? Explain.

Answer:

No, they will both find a sum, but they will have to use different relationships to write their equations. Walden needs to set the sum of the exterior angles equal to 360 degrees. Lisa needs to set the sum of the remote interior angles equal to the exterior angle. After they solve for the variable, they can substitute that into each expression to find the unknown angle measures.

11

✔ 11162231

A
✔ 11
B
16
C
22
D
31

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