the measures of the angle of a polygon having four sides are represented as x°, x°, 5x°, and (4x-3)° find the measure of the largest angle.
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the measures of the angle of a polygon having four sides are represented as x°, x°, 5x°, and (4x-3)° find the measure of the largest angle.
Answer:
The sum of four angles of a polygon having 4 sides is 360°.
The largest angle is 165°.
Solution:
x° + x° + 5x° + 4x - 3° = 360°
Add the like terms.
11x° = 360° + 3°
11x = 363
x = 33°
Then, after we need to put the value of x which is 33 degrees into our solution:
x° + x° + 5x° + 4x - 3° = 360
33° + 33° + 5(33)° + [(4 * 33) - 3°] = 360
33° + 33° + 165° + 132° - 3° = 360
33° + 33° + 165° + 129° = 360
360 = 360 CHECK
Therefore, the measure of the largest angle is 165°.