Question

Are the given triangles similar?

Options

• Yes

• No

• None of these

Answer 1

Yes

Explanation:

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.