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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°