Mathematics

Three angles of a quadrilateral measure 56°, 115° and 84°. Measure of the fourth angle is :

  1. 100°

  2. 105°

  3. 95°

  4. 110°

Rectilinear Figures

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Answer

Let the fourth angle be x.

Given the three angles are 56°, 115° and 84°:

The sum of the angles of a quadrilateral is 360°

56°+ 115° + 84° + x = 360°

255° + x = 360°

x = 360° - 255°

x = 105°

Hence, option 2 is the correct option.

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