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6 October, 16:28

If tap and bre are supplementary and bre is its own complement, find the measure of tap. explain how you arrived at your answer

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  1. 6 October, 20:08
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    Supplementary angles are those whose sum is equal to 180° while those that are complementary are those whose sum is equal to 90°. Since, we are given that bre is the complement of itself, its measure can be calculated through the equation,

    m∠bre + m∠bre = 90°

    m∠bre = 45°

    Then, for the relationship of bre and tap, we have the equation,

    m∠bre + m∠tap = 180°

    45° + m∠tap = 180°

    m∠tap = 135°

    The measure of tap is equal to 135°.
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