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    Question

    If each interior angle of a regular polygon is 135°,

    then the number of sides that polygon has is:
    A 8 Correct Answer Incorrect Answer
    B 15 Correct Answer Incorrect Answer
    C 12 Correct Answer Incorrect Answer
    D 10 Correct Answer Incorrect Answer

    Solution

    ATQ, To find the number of sides of a regular polygon with an interior angle of 135°, we use the formula for the interior angle of a regular polygon:

    Where n is the number of sides. Given that the interior angle is 135°, we can set up the equation:

    Multiply both sides by n: 135n=180(n−2) Simplify: 135n=180n−360 Now, solve for n: 180n−135n=360 45n=360 n = 360/45 = 8

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