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11 January, 05:12

Is each biconditional statement true or false?

Select true or false for each statement

A angle is a right angle if and only if the measure of the angle is 90 degrees

An angle measures 120 degrees if and only if the angle is an obtuse angle

An angle measures 180 degrees if and only if the angle is a straight angle

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  1. 11 January, 06:34
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    Answer: All bi-conditional statements are true.

    Step-by-step explanation:

    Since we have given that

    1) A angle is a right angle if and only if the measure of the angle is 90 degrees - True.

    As we know that in right angled triangle, one angle must be of 90°.

    2) An angle measures 120 degrees if and only if the angle is an obtuse angle - True

    As obtuse angle means angle should be greater than 90° but less than 180°.

    And 90°<120°<180°

    3) An angle measures 180 degrees if and only if the angle is a straight angle. - True

    As we know that measure of straight angle means 180°.

    Hence, all bi-conditional statements are true.
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