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MathematicsGrade 7en

⭐ Angle Relationships

Master angle relationships in intersecting lines and triangles. This quiz covers adjacent, vertical, supplementary, and complementary angles, plus angle properties in triangles and exterior angles. **What you'll learn:** - Identify and apply vertical and adjacent angles - Solve problems using supplementary and complementary angle properties - Apply the triangle angle sum theorem ($\text{sum} = 180°$) - Calculate exterior angles and unknown angles in geometric figures

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Questions in this quiz

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  1. Question 1

    Two lines intersect and form four angles. One angle measures 68°68°. What is the measure of the angle that is vertically opposite to it?

  2. Question 2

    Adjacent angles are always supplementary (sum to 180°180°).

  3. Question 3

    Two supplementary angles have measures of xx and (x+20)(x + 20) degrees. What is the value of xx?

  4. Question 4

    In a triangle, the three angles measure 45°45°, 60°60°, and (y)(y) degrees. What is the value of yy?

  5. Question 5

    Complementary angles always sum to 90°90°.

  6. Question 6

    An exterior angle of a triangle measures 120°120°. One of the non-adjacent interior angles measures 50°50°. What is the measure of the other non-adjacent interior angle?

  7. Question 7

    Two complementary angles have measures of 2a2a and (a+15)(a + 15) degrees. What is the value of aa?

  8. Question 8

    When two straight lines intersect, all four angles formed are equal.

  9. Question 9

    At the intersection of two lines, one of the angles measures 35°35°. What is the measure of an angle adjacent to it that forms a linear pair?

  10. Question 10

    In triangle ABCABC, angle A=62°A = 62° and angle B=58°B = 58°. What is the measure of angle CC?

  11. Question 11

    If two angles form a linear pair, they must be supplementary.

  12. Question 12

    Two angles are complementary. One angle is three times the other. What are the measures of the two angles?

  13. Question 13

    An isosceles triangle has two angles measuring 55°55° each. What is the measure of the third angle?

  14. Question 14

    The exterior angle of a triangle is equal to the sum of the two remote interior angles.

  15. Question 15

    At the intersection of two lines, if one angle is 3x3x and an adjacent angle is (2x−5)(2x - 5) degrees, what is the value of xx?

  16. Question 16

    In triangle XYZXYZ, the exterior angle at vertex ZZ measures 130°130°. If angle X=45°X = 45°, what is the measure of angle YY?

  17. Question 17

    Vertical angles are located next to each other and form a linear pair.