The measure of three angles of triangle are 3x-17, x+40, 2x-5. Find x
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- Angle Sum Property
Sum of all 3 interior angles = 180°
Angles :
- 3x - 17
- x + 40
- 2x - 5
Solving :
For Angles :
➢ 3x - 17 = 3(27) - 17
⇒ 81 - 17
- 1 angle = 64°
➢ x + 40 = 27 + 40
- 2 angle = 67°
➢ 2x - 5 = 2(27) - 5
⇒ 54 - 5
- 3 angle = 49°
Check :
- Angle Sum Property
⇒ 1 angle + 2 angle + 3 angle = 180°
⇒ 64° + 67° + 49° = 180°
Therefore, 180° = 180°
Hence Proved
- Value of x = 27°
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