The angles of a triangle are arranged in ascending order of their magn

1.	The angles of a triangle are arranged in ascending order of their magnitude. If the difference between two consecutive angles is 10° find the three angles.
Answer» Let the first angle be x, second angle is x +10° and third angle is x + 20° x + x+ 10° + x + 20° = 180° [Sum of the angles of a triangle 180° ] 3x + 30° = 180° 3x = 180° – 30° 3x = 150° x = \(\frac{150^o}{3}\)= 50° x = 50° ∴ First angle x = 50° Second angle = x + 10° = 50° + 10° = 60° Third angle = x + 20° = 50° + 20° = 70° Three angles are 50°, 60° & 70°

The angles of a triangle are arranged in ascending order of their magnitude. If the difference between two consecutive angles is 10° find the three angles.

Answer»

Let the first angle be x, second angle is x +10° and third angle is x + 20° x + x+ 10° + x + 20° = 180°

[Sum of the angles of a triangle 180° ]

3x + 30° = 180°

3x = 180° – 30°

3x = 150°

x = \(\frac{150^o}{3}\)= 50°

x = 50°

∴ First angle x = 50°

Second angle = x + 10° = 50° + 10° = 60°

Third angle = x + 20° = 50° + 20° = 70°

Three angles are 50°, 60° & 70°