In this rectangle ABCD , the value of 2x + y is:

  1. 95°  
  2. 110°  
  3. 30°  
  4. 135°  

Answer (Detailed Solution Below)

Option 2 : 110°  
Free
REET CT 1: CDP (Growth and Development)
10 Qs. 10 Marks 8 Mins

Detailed Solution

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Given:

ABCD is a rectangle.

Calculation:

Measurement of each angle in a rectangle is 90°

So,

⇒ (2x + 25)° = 90°

⇒ 2x = 90° - 25°

⇒ x = 65°/2 = 32.5° 

Same as

⇒ (3y - 45) ° = 90°

⇒ 3y = 90° + 45°

⇒ y = 135°/3 = 45° 

According to question

⇒ 2x + y = 2 × 32.5° + 45°

⇒ 65° + 45°= 110°  

⇒ 2x + y = 110°  

∴ The correct option is 2 i.e.110° 

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