The sum of two acute angles is an acute angle. always true, never or sometimes. Explain.

The sum of two acute angles is an acute angle. always true, never or sometimes. Explain.

Question
The sum of two acute angles is an acute angle. always true, never or sometimes. Explain.

Answers (1)

2021-01-03
Sometimes true
Recall that an acute angle measures greater than 0°0° and less than 90°.
An example where the statement is true is when the two angles are 10° and 20° which sums to 30°, an acute angle.
An example where the statement is false is when the two angles are 60°60° and 70°70° which sums to 130°, an obtuse angle.
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