Concept:The definitions of different types of angles: acute (
0∘<θ<90∘), obtuse (
90∘<θ<180∘), straight (
θ=180∘), and reflex (
180∘<θ<360∘).
Explanation:We check each statement one by one:
-
Statement A: Two acute angles can sum to an obtuse angle.
Example:
50∘+60∘=110∘, which is obtuse.
Correct.-
Statement B: One acute and one obtuse angle can sum to a straight angle.
Example:
60∘+120∘=180∘.
Correct.-
Statement C: Reflex angle is between
180∘ and
360∘. This is the definition.
Correct.-
Statement D: Two acute angles can make a reflex angle.
Maximum sum of two acute angles is just under
90∘+90∘=180∘. Since a reflex angle must be greater than
180∘, this sum can never reach the reflex range.
Incorrect.Answer:Option D (Two acute angles can be put together to make a reflex angle) is the statement that is not correct. Hence the answer is (4).