Find the unknown angle x for the following figures

1.	Find the unknown angle x for the following figures
Answer» In any triangle exterior angle is always equal to the sum of two interior angles. (i) x = 80° + 50° = 130° (ii) x + 35° = 110° ⇒ x = 110° – 35° = 75° (iii) x = 30° + 35° = 65° (iv) x + 70° = 120° ⇒ x = 120° – 70° = 50° (v) x + 35° = 65° ⇒ 65° – 35° = 30° (vi) x = 55° + 40° = 95°

Answer»

In any triangle exterior angle is always equal to the sum of two interior angles.

(i) x = 80° + 50° = 130°

(ii) x + 35° = 110°
⇒ x = 110° – 35° = 75°

(iii) x = 30° + 35° = 65°

(iv) x + 70° = 120°

⇒ x = 120° – 70° = 50°

(v) x + 35° = 65°

⇒ 65° – 35° = 30°

(vi) x = 55° + 40° = 95°

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