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The sum of two angles of a triangle is 116° and their difference is 24°. The measure of the smallest angle of the triangle is :
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- 38°
- 28°
- 46°
- 64°
- 38°
Correct Option: C
Let three angles of triangle = p, q and r
According to the question,
p + q = 116°
p – q = 24
On adding, we get
2p = 116 + 24 = 140
| ⇒ p = | = 70° | |
| 2 |
∴ p + q = 116°
⇒ 70° + q = 116°
∴ q = 116° – 70° = 46°
Third angle (r) = 180° – 116° = 64°
