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Find the measure of the missing angle.

11. Find the measure of the missing angle.

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Full solution

Q. 11. Find the measure of the missing angle.
  1. Add angles in ratio: Since the sum of angles in a triangle is 180∘180^\circ, let's add up the given angle and the ones in the ratio to make an equation.
  2. Combine like terms: Combine like terms to simplify the equation.
  3. Isolate 7x7x term: Subtract 110°110° from both sides to isolate the 7x7x term.
  4. Solve for xx: Divide both sides by 77 to solve for xx.
  5. Find missing angles: Now, plug xx back into the ratios to find the measures of the two missing angles.

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