1.

The measures of angles of a triangle are a°, (a +24)° and (a + 36)° . Find the value of each angle.1. 23°, 45° and 67° 2. 40° , 64°  and 76° 3. 12° , 36°  and 72° 4. 17° , 75°  and 95°

Answer» Correct Answer - Option 2 : 40° , 64°  and 76° 

Given:

The three angles of triangle = a°, (a +24)° and (a + 36)° 

Calculation:

 a°, (a +24)° and (a + 36)° = 180°  (angle sum property of a triangle)

⇒ 3a° = 180° – 60° 

⇒ 3a = 120° 

⇒ a = 40° 

⇒ (a + 24)° 

 ⇒ (40 + 24)° 

⇒ 64° 

⇒ (a + 36)° 

⇒ (40 + 36)° 

⇒ 76° 

∴ The measure of angles are 40°, 64° and 76°


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