Grade 8 Questions with Answers on Angles in Triangles

Find angles in triangles; questions with answers for grade 8 are presented. Solutions with explanations also included.

Quesions

Find the unknown angle(s) in the figures below.

  1. Triangle with one unknown angle and two known angles.

  2. Right triangle with one unknown angle.

  3. Triangle with three unknown angles and other known angles.

  4. Right triangle with two unknown angles.

  5. Two triangles with three unknown angles.

  6. Three triangles with five unknown angles.

Answers

  1. \( x = 61^\circ \)
  2. \( y = 56^\circ \)
  3. \( x = 36^\circ , \quad y = 124^\circ , \quad z = 20^\circ \)
  4. \( y = 52^\circ , \quad x = 64^\circ \)
  5. \( x = 14^\circ , \quad z = 47^\circ , \quad y = 19^\circ \)
  6. \( w = 17^\circ , \quad v = 48^\circ , \quad z = 10^\circ , \quad x = 58^\circ , \quad y = 79^\circ \)

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