Expressions, equations & relationships · TEKS 7.11C

Angle relationships

Angle pairs have fixed sums. Write an equation from the sum, then solve.

Key steps
  • Complementary: add to 90°.
  • Supplementary (straight line): add to 180°.
  • Vertical angles (an X shape): equal.
  • Triangle: all three angles add to 180°.
Worked example

Angles x°, 2x° and (x + 20)° form a triangle. Find x.

  1. x + 2x + x + 20 = 180.
  2. 4x = 160, so x = 40.
  3. Answer: x = 40
Watch out: Read what is asked: x, or the size of an angle? After finding x, plug it back in if needed.

Practice

5 questions with new numbers every set. Get 4 of 5 to mark this topic as practiced.

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