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Home  >>  JEEMAIN and NEET  >>  Mathematics  >>  Class11  >>  Mathematical Reasoning

What is true about the statement "If two angles are right angles, the angles have equal measure" and its converse "If two angles have equal measure then the two angles are right angles"?

$\begin {array} {1 1} (A)\;The \:  statement \: is\:  true \: but\:  its\:  converse\:  is\:  false \\ (B)\;The\:  statement\:  is\:  false\:  but\:  its \: converse\:  is\:  true \\ (C)\;Both \: the\:  statement \: and\:  its \: converse\:  are\:  false \\ (D)\;Both\:  the\:  statement\:  and\:  its \: converse are\:  true. \end {array}$

 

1 Answer

Ans : (A)
All right angles have 90 degrees, therefore they are all equal in measure.
However, two angles can be equal in measure (each being 30 degrees),
but they are not necessarily right angles.

 

answered Jan 22, 2014 by thanvigandhi_1
 

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