Maths-
General
Easy

Question

Which of the given statements is true?

  1. The complement of an acute angle is obtuse.
  2. The supplement of an acute angle is obtuse.
  3. An obtuse angle has a complement.

Hint:

An angle that measures more than 90 degrees and less than 180 degrees is known as an obtuse angle.

The correct answer is: The supplement of an acute angle is obtuse.


    Solution:
    • We have been given three statements in the question from which we have to find which statement is true.
    Step 1 of 1:
    We have given some statements and we have to find which statement is true.
    A. The complement of an acute angle is obtuse.
    This is not true, because the sum of complimentary angles are equal to 90o
    So, it is not possible that any one of the angle is more than 90o.
    B. The supplement of an acute angle is obtuse
    This is true,
    Because, The sum of supplementary angles are 180o.
    If any one angle is less than 90o, then other has to be greater than 90o.
    Or if any one of the angle is acute then other has to be obtuse.
    C.
    An obtuse angle has a complement.
    This is not true, because obtuse angle itself is greater than 90o
    Hence, Option B is true.

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