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A pair of complementary angles add up to equal 90 degrees. Therefore, both angles indeed need to be less than 90 degrees.

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Q: In a complimentary pair of angles both angles must be acute?
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Is it true If two angles are complementary then both angles must be acute?

True because both angles must add up to 90 degrees


Can two complementary angles both be acute?

They MUST both be acute.Two angles are complementary if their sum is 90 degrees. Therefore, neither of them can be greater than 90 degrees and so they are acute.


What has 2 acute angles and 1 obtuse angle?

A scalene triangle if the acute angles are different in sizes but if the acute angles are equal then it is an isosceles triangle and in both cases all 3 angles must add up to 180 degrees


Why must a right triangle have two acute angles?

A right angle must have two acute angles because since one angle is ninety degrees, than the other two must equal ninety degrees. To make ninety degrees with two angles, both of them must be acute, or less than 90 degrees (each).


If two angles of a triangle are acute must the the third angle always be acute?

No. In fact, if one of the angles is not acute (a right angle or obtuse), the other two must be acute.


Are the the angles in a triangle acute?

In plane geometry at least two angles must be acute in a triangle.


How many obtuse and acute angles can be in a right triangle?

In a right triangle, one of the angles is already given - 90 degrees. Since the angles of a triangle must add up to 180 degrees, the other two must always add up to 90, so that after you add the right angle, the sum is 180. So both of the other angles have to be less than 90. That is, they both must be acute. So there can be NO obtuse angles in a right triangle. There are EXACTLY two acute angles in a right triangle.


What is the least number of acute angles that a traingle can have?

Every triangle must have either 2 or 3 acute angles.


Can a triangle have two acute angles?

Yes. In fact, all triangles MUST have at least two acute angles.


What geometric shapes have acute angles?

Any irregular polygon can have an acute angle. A regular triangle (equilateral) has three acute angles. All other triangles must have at least two acute angles. A quadrilateral, other than a rectangle (or square), must have at least one.


Can a triangle have an acute angle?

Yes it can. A triangle must have at least two acute angles.


What kind of angles does a triangle have in it acute or obtuse?

Every triangle must have at least two acute angles. The third one can be acute, right (90 degrees), or obtuse.