Q. Is it possible for an acute angle to have both a complement and a supplement?
Explanation: Two angles ∠A are vertical (formed by two intersecting lines) and acute (smaller than 90o ). Angles ∠1 and ∠2 are adjacent (share one side) and acute. Two acute angles cannot be supplementary (sum of them should equal to 180o ) because each of them is smaller than 90o .
Q. What is the supplement and complement of an acute angle?
And what is the complement of an acute angle? The supplement of an obtuse angle is an acute angle. Since an obtuse angle is greater than 90 degrees, the other angle must be less than 90 degrees in order for both angles to add to 180. The complement of an acute angle is an acute angle.
Q. Is it possible for an acute angle to be one angle in a pair of supplementary angles?
A supplementary angle can be composed of one acute angle and another obtuse angle. Illustration: ∠ θ and ∠ β are supplementary angles because they add up to 180 degrees.
Q. Can you calculate the supplement of an acute angle?
We know the measure of A+B=180. If A is acute that means its measure is less than 90 degrees. The supplement must therefore have measure more than 90 degrees. We could say the supplement of an acute angle must be an obtuse angle.
Q. What does a complementary angle look like?
Two Angles are Complementary when they add up to 90 degrees (a Right Angle). They don’t have to be next to each other, just so long as the total is 90 degrees. Examples: 60° and 30° are complementary angles.
Q. What is the supplement of an angle that measures 3x?
The Supplementary angle is 180-x.
Q. How large is an angle whose supplement is three times its complement?
45
Q. What is the measure of a supplement angle?
Supplementary angles are two angles whose measures add up to 180° .
Q. How do you find an acute angle of a right triangle?
Divide the length of side “a” by the length of the hypotenuse, side “c.” This is the sine of the acute angle that shares the horizontal leg with the right angle. Enter this ratio into your scientific calculator and use the inverse sine function to determine the angle.
Q. What does acute look like?
An acute angle is an angle that measures between 90° and 0°, meaning it is smaller than a right angle (an “L” shape) but has at least some space between the two lines that form it. A “V” shape is an example of an acute angle.
Q. Is it necessary for the two angles of a right triangle to be acute?
Explanation: A right triangle can, and must, have exactly two acute angles. As a right triangle has one angle equal to 90∘ , this means the sum of the remaining two angles must be 180∘−90∘=90∘ . Thus, both of the remaining two angles must have a measure less than 90∘ and therefore must be acute.
Q. Does a triangle always have 2 acute angles?
Yes, all triangles have at least two acute angles. Acute angles are angles that measure less than 90 degrees, while obtuse angles measure greater than…
Q. Can a triangle have all the three angles less than 60 degree?
No, a triangle cannot have all angles less than 60°, because if all angles will be less than 60°, then their sum will not be equal to 180°.
Q. What kind of angles does an acute triangle have?
Acute triangles have NO angles greater than or equal to 90 degrees — all their angles are less than 90 degrees. (Acute triangles have all acute angles.)
Q. Which of the following Cannot be the angle of an acute triangle?
The angles of an acute triangle add up to 180°, because of the Angle Sum Property. A triangle cannot be acute-angled and right-angled at the same time. A triangle cannot be obtuse-angled and acute-angled simultaneously.
Q. Can you have a triangle with two obtuse angles?
The answer is “No”. Reason: If a triangle has two obtuse angles, then the sum of all the 3 interior angles will not be equal to 180 degrees.
Q. Can you draw a triangle that has two obtuse angles Why or why not?
No, because the sum of 3 angles of a triangle is always equal to 180 degrees and sum of 2 obtuse angles is always more than 180 degrees. therefore, it is not possible to draw a triangle with 2 obtuse angles.
Q. Can a triangle have more than one right angle and why?
Ans- No a triangle cannot have more than one right angle as if there are 2 right angles the their sum will be 180° and the third angle will exceed the sum.
Q. Can a triangle be acute and right?
In any triangle, two of the interior angles are always acute (less than 90 degrees)*, so there are three possibilities for the third angle: Less than 90° – all three angles are acute and so the triangle is acute. Exactly 90° – it is a right triangle.
