Is it true that the supplement of an acute angle is an obtuse angle?

Is it true that the supplement of an acute angle is an obtuse angle?

The supplement of an acute angle will always be an obtuse angle. An acute angle is an angle which measures greater than 0 degrees and less than 90…

Is the complement of the supplement of an angle acute?

Is the complement of the supplement of an angle acute? The supplement of an obtuse angle is an acute angle. The complement of an acute angle is an acute angle. Since complementary angles add to 90 degrees, the only angles that add to 90 are acute angles.

Is it true that if an angle is acute then its complement is greater than its supplement?

This is false. The acute angle. This supplement will always be bigger than its complement no matter what. Even if I had the biggest acute angle, I could have 89.999 It’s compliment would be 0.1 It’s supplement would have to be plus 90.

What is the supplement of an angle?

Two angles are called supplementary when their measures add up to 180 degrees.

Why is the supplement of an acute angle always obtuse?

Measure of acute angle is between 0 and 90∘. Supplementary angles add up to 180∘, so supplement of acute angle must have a measure between 90∘ and 180∘ which is obtuse angle.

What is true about angles that are supplementary to congruent angles?

If two angles are supplementary and congruent, then supp + ≅ ⇒ rt ∠s they are right angles. A right angle is an angle whose measure is 90° rt. ∠ ⇒ 90° Congruent segments/angles have equal measures. Supplementary angles are two angles whose sum is supp ⇒ st ∠ a straight angle (180°).

Is the supplement of the complement of an acute angle always obtuse?

Is it true that if a ray divides an angle into two complementary angles then the original angle is a right angle?

If a ray divides an angle into two complementary angles, then the original angle is a right angle. Right angles are 90 degrees and a supplementary angle = 180 degrees, so 2 right angles equal 180.

Is the complement of an acute angle an acute angle?

The complement of an acute angle is an acute angle. Since complementary angles add to 90 degrees, the only angles that add to 90 are acute angles.

What is the relationship between angle A and B?

Answer: the relation between the angle a and angle b is vertically opposite angle. remember we know that , vertically opposite angle are always equal.

What is a supplement of an obtuse angle?

The supplement of an obtuse angle is always acute angle.

What is the complement and supplement of an acute angle?

The complement of angle A (given that A is acute) is 90° – A. Because complementary angles add to 90 degrees, only acute angles have complements. (A) + (90 – A) = 90°. The supplement of an angle is 180° – the angle. Currently our angle is (90° – A). So now we want 180° – (90° – A), which will simplify to 90° + A.

What is the sum of complementary and supplementary angles?

If the sum of angle 1 and angle 2 is Right angle (90) ∘, then two angles are said to be complementary angles and angle 1 and angle 2 complement each other. Two angles are Supplementary angles if their sum is 180 ∘. In another way, we can say that if two angles add up to form a straight angle, then those angles are said to be supplementary angles.

What is the complement and supplement of a’s complement?

To summarize, if A is an acute angle, A’s complement is (90° – A), nd the supplement of A’s complement is (90° + A).

Which angle is a single candidate for congruent supplementary angle?

Therefore, if A is 20 degrees, supplementary angle is 160 degrees; for 30 degrees, it is 150 degrees and so on. For a congruent supplementary angle, we should find such an angle A which is equal to 180 -A (in degrees). Therefore, 90 degree is single candidate for congruent supplementary angle.