Sum of Interior Angles of a Triangle Answers
Which statement is true about angle C?
Sample Response: The sum of the measures of the interior angles of a triangle is 180°. m∠B + 50 + 65 = 180, so m∠B = 65°. The sum of adjacent angles forming a straight line is also 180°. m∠2 + 50 + 65 =180, so m∠2 = 65°. The angles are congruent. Check all that you included in your response.Interior angles add up to 180°, so mB = 65°.Straight lines add up to to 180°, so m2 = 65°.2 and B are congruent.
Explain the connection between ∠2 and ∠B.
The sum of the interior angles of a triangle is 180°, so m∠B + 50° + 65° = 180°, which means m∠B = 65°. Similarly, the three angles on the horizontal line form a straight angle, so m∠2 + 50° + 65° = 180°, which means m∠2 = 65°. Therefore, ∠2 and ∠B are congruent because they have the same measure.
The diagram shows parallel lines cut by two transversal lines creating a triangle. Which statements are true? Check all that apply.
Which kind of angle pair is angle A and the angle marked 70°?✔ alternate interior angles alternate exterior anglesvertical anglescorresponding angles
The diagram shows parallel lines cut by two transversal lines creating a triangle. Which statement can be made from the diagram?
Shalini found the sum of the measures of the interior angles of the triangle to be 175°. She knows the sum is supposed to be 180°. What was Shalini’s error?
Which equation would help find the measure of ∠M?
What is the measure of M?°
50
Which cannot be the angle measurements of triangle ABC?
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