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The measure of three angles of a triangle are x⁰, (x-2)⁰ and 90⁰ then what is the value of x? * 20304050 |
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Answer» he value of x is 44EXPLANATIONGivenThe three ANGLES of a triangleMeasure of the angles are x°, ( x - 2 )² and 90°Need to findThe value of the x.SolutionHere, we are given with the values of all the angles of a triangle. We need to find an unknown "x" of which the TWO Angles are FUNCTION of. We can use the angle sum property of triangles to find the unknown "x".As the sum of all angles of a triangle is 180°, the three angles of the triangle are given, so, they must sum up to 180°The equation becomes:⟹ x° + ( x - 2)° + 90° = 180°⟹ x° + ( x - 2)° = 180°- 90° ⟹ x° + ( x - 2)° = 90° ⟹ x° + x° - 2° = 90°⟹ 2x° - 2° = 90°⟹ 2( x + 1 )° = 90°⟹ x° + 1° = 90°/2⟹ x° + 1° = 45°⟹ x° = 45° - 1°⟹ x° = 44°⟹ x = 44The value of x is 44 |
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