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Q.2 Find the value of the unknown interior angle x in the following figures:

Answer :

(i) \(\angle \)x + 50° = 115° (Exterior angle of a triangle)
\(\therefore \) \(\angle \)x = 115°- 50° = 65°
(ii) \(\angle \)x + 70° = 110° (Exterior angle of a triangle)
\(\therefore \) \(\angle \)x = 110° – 70° = 40°
(iii) \(\angle \) x + 90° = 125° (Exterior angle of a right triangle)
\(\therefore \) \(\angle \)x = 125° – 90° = 35°
(iv) \(\angle \)x + 60° = 120° (Exterior angle of a triangle)
\(\therefore \) \(\angle \)x = 120° – 60° = 60°
(v)\(\angle \) X + 30° = 80° (Exterior angle of a triangle)
\(\therefore \) \(\angle \)x = 80° – 30° = 50°
(vi) \(\angle \) x + 35° = 75° (Exterior angle of a triangle)
\(\therefore \) \(\angle \) x = 75° – 35° = 40°