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0 votes
3.8k views
in Geometry by (9.2k points)

Two angles of the triangles are given. Find the third angle.

(i) 80°, 60°

(ii) 52°, 68°

(iii) 75°, 35°

(iv) 50°, 90°

(v) 120°, 30°

(vi) 55°, 85°

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1 Answer

0 votes
by (15.8k points)

(i) 80°, 60°

Let the third angle be x.

Sum of the angles = 180°

80° + 60° + x = 180°

140 + x = 180°

x = 180°- 140°

x = 40°

Third angle = 40°

(ii) 52°, 68°

Let the third angle be x.

Sum of the angles = 180°

52° + 68° + x = 180°

120 + x = 180°

180° – 120°

x = 60°

Third angle = 60°

(iii) 75°, 35°

Let the third angle be x.

Sum of the angles 180°

75° + 35° + x = 180°

110 + x = 180°

x = 180° – 110°

x = 70°

Third angle = 70°

(iv) 50°, 90°

Let the third angle be x. Sum of the angles = 180°

50° + 90° + x = 180°

140 + x = 180°

x = 180° – 140°

x = 40°

Third angle = 40°

(v) 120°, 30°

Let the third angle be x.

Sum of the angles = 180°

120° + 30° + x = 180°

150 + x = 180°

x = 180° – 150°

x = 30°

Third angle = 30°

(vi) 55°, 85°

Let the third angle be x.

Sum of the angles = 180°

55° + 85° + x = 180°

140 + x = 180°

x = 180° – 140°

x = 40°

Third angle = 40°

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