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The brackets for a shelf are in the shape of a triangle ABC. Find the missing angle of the triangle if the measure of the angles a=33 and b=102

2 Answers

9 votes


\small\bold\green{[Sum \: of \: interior \: angles \: of \: a \: triangle \: is \: 180°]}

Lets , Find the missing angle :

m∠A + m∠B + m∠C = 180°

33° +102° + m² = 180°

135° + m∠C = 180°

m∠C = 180° - 135°

m∠C = 45°

User Tbreffni
by
3.3k points
3 votes

Answer:

  • 45°

Explanation:

Sum of interior angles of a triangle is 180°.

Find the missing angle:

  • m∠A + m∠B + m∠C = 180°
  • 33° + 102° + m∠C = 180
  • 135° + m∠C = 180°
  • m∠C = 180° - 135°
  • m∠C = 45°
User Jeppe Liisberg
by
3.3k points