Find x, if the angles of a triangle are:(i) x°, x°, x°(ii) x°, 2x�

1.	Find x, if the angles of a triangle are:(i) x°, x°, x°(ii) x°, 2x°, 2x°(iii) 2x°, 4x°, 6x°
Answer» (i) Since, sum of all the angles of a triangle =180 x° + x° + x° = 180 ⇒ 3x° = 180 ⇒ x° = (180/3)° x = 60 (ii) x° + 2x° + 2x° = 180 5x° = 180 x° = (180/5)° x° = 36 (iii) 2x° + 4x° + 6x° =180 12x° = 180 x° = (180/12)° x° = 15

Find x, if the angles of a triangle are:(i) x°, x°, x°(ii) x°, 2x°, 2x°(iii) 2x°, 4x°, 6x°

Answer»

(i) Since, sum of all the angles of a triangle =180

x° + x° + x° = 180

⇒ 3x° = 180

⇒ x° = (180/3)°

x = 60

(ii) x° + 2x° + 2x° = 180

5x° = 180

x° = (180/5)°

x° = 36

(iii) 2x° + 4x° + 6x° =180

12x° = 180

x° = (180/12)°

x° = 15