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Match the angle to the correct label:

Match the angle to the correct label:

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Find missing angles in trianglesright chevron icon

Full solution

Q. Match the angle to the correct label:
  1. Calculate Sum of Angles: First angle is 110°110°, so the sum of the other two angles must be 180°−110°=70°180° - 110° = 70°.
  2. Establish Ratio of Angles: The ratio of the other two angles is 2:52:5, let's call the smaller angle 2x2x and the larger angle 5x5x.
  3. Solve for Variable: Adding the two angles together, we get 2x+5x=7x2x + 5x = 7x. This sum should equal 70°70°, so 7x=70°7x = 70°.
  4. Find Value of x: Divide both sides by 77 to find x: x=70°7=10°x = \frac{70°}{7} = 10°.
  5. Calculate Individual Angles: Now calculate the individual angles: the smaller angle is 2x=2×10°=20°2x = 2 \times 10° = 20° and the larger angle is 5x=5×10°=50°5x = 5 \times 10° = 50°.

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