Match the correct angles(3 points)

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Angles w and z are complementary angles. If ∠w = 35°, ∠z = Response area.

Angles b and c are supplementary anlges. If ∠b = 130°, ∠c = Response area.

Angles r and s are vertical angles. If ∠r = 79°, ∠s =

1 answer

Let's solve each part of the question step-by-step.

  1. Complementary Angles (∠w and ∠z):

    • Complementary angles add up to 90°.
    • Given: ∠w = 35°
    • To find ∠z: \[ ∠z = 90° - ∠w = 90° - 35° = 55° \]
    • Thus, ∠z = 55°.
  2. Supplementary Angles (∠b and ∠c):

    • Supplementary angles add up to 180°.
    • Given: ∠b = 130°
    • To find ∠c: \[ ∠c = 180° - ∠b = 180° - 130° = 50° \]
    • Thus, ∠c = 50°.
  3. Vertical Angles (∠r and ∠s):

    • Vertical angles are equal.
    • Given: ∠r = 79°
    • Thus, ∠s = 79°.

Now, let's summarize the responses:

  • ∠z = 55°
  • ∠c = 50°
  • ∠s = 79°

You can input these values into the corresponding response areas.