Mathematics

Are the given triangles similar?

Are the given triangles similar? Concise Mathematics Solutions ICSE Class 10.
  1. Yes

  2. No

  3. None of these

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Answer

As we know that sum of all angles of a triangle is 180°.

In first triangle,

⇒ 65° + 55° + third angle = 180°

⇒ 120° + third angle = 180°

⇒ third angle = 180° - 120°

⇒ third angle = 60°

In second triangle,

⇒ 65° + 70° + third angle = 180°

⇒ 135° + third angle = 180°

⇒ third angle = 180° - 135°

⇒ third angle = 45°

Since, the in the given triangles neither corresponding angles are equal nor their corresponding sides are in proportion.

Hence, option 2 is the correct option.

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