AnswersFL-1205070-MJ Grade 8 Pre-Algebra Summer 2026Solving for Unknown Angles in TrianglesQuestion 9
9
AssignmentMultiple Choice

Solving for Unknown Angles in Triangles

Question 9 • FL-1205070-M/J Grade 8 Pre-Algebra (Summer 2026)

Given the diagram, which statement is not true?

Answer
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.

Explanation

Since ∠1 is supplementary to the 106° angle, m∠1 = 180° − 106° = 74°. The corresponding-angle statement then gives 6x + 8 = 74, so x = 11 and 7x − 2 = 75°. The sum in choice C is therefore 74° + 74° + 75° = 223°, not 180°, so that statement is not true.

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