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Angles and Triangles Quick Check — 6th Grade Math (with Answer Key)

Questions
Grade 6
English

Angles and Triangles Quick Check — 6th Grade Math (with Answer Key)

Name: __________________________ Date: __________________________

Angles and Triangles Quick Check

1. Classify each of the three angles shown below as acute, right, or obtuse.
fig 1: Three angles labeled i, ii, and iii
fig 1: Three angles labeled i, ii, and iii

  • Angle i: ________________
  • Angle ii: ________________
  • Angle iii: ________________


2. Estimate the measure of the angle shown below. Pick the best answer.
fig 2: An angle to be estimated
fig 2: An angle to be estimated

1. Based on the figure, what is the best estimate for the measure of this angle?
A. 90° B. 60° C. 30° D. 120°


3. Angles on a straight line: In the figure below, the angle on the right measures 120°. Find the value of the missing angle $x$ on the left.
fig 3: Supplementary angles on a straight line
fig 3: Supplementary angles on a straight line

$x$ = _________ degrees


4. Find the missing angle $x$ in the triangle shown below. The two labeled interior angles both measure 51°.
fig 4: Triangle with two known angles
fig 4: Triangle with two known angles

$x$ = _________ degrees


5. Classify the triangle below by the length of its sides (scalene, isosceles, or equilateral). Note the tick marks indicating side lengths.
fig 5: Triangle with side length indicators
fig 5: Triangle with side length indicators

Classification: _______________________


6. Classify the triangle below based on its angles (acute, right, or obtuse).
fig 6: Triangle with one angle arc marked
fig 6: Triangle with one angle arc marked

Classification: _______________________


7. Vertical Angles: In the figure below, the top angle measures 127°. Find the measure of the vertical angle $x$ at the bottom.
fig 7: Two intersecting lines forming vertical angles
fig 7: Two intersecting lines forming vertical angles

$x$ = _________ degrees


8. Explain how you calculated the missing angle in Question 4. What rule did you use?
fig 8: Reference diagram for Question 4
fig 8: Reference diagram for Question 4

Explanation: