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How to find y in angle sum theorem

How to find y in angle sum theorem-example-1
User Sulav Timsina
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1 Answer

18 votes
18 votes

Answer:

y = 90°

Explanation:

  • 110° is the measure of exterior angle of bigger triangle.

  • -> (x + x) + 70° = 110° (By exterior angle theorem)

  • -> 2x = 110° - 70°

  • -> 2x = 40°

  • -> x = 40°/2

  • -> x = 20°

  • y is the measure of exterior angle of smaller triangle.

  • -> y = x + 70° (By exterior angle theorem)

  • -> y = 20° + 70°

  • -> y = 90°
User Narduk
by
2.4k points