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The sum of the angles of a triangle is 180 degrees. A right angle is 90 degrees. So the sum of the remaining two acute angles of a right triangle is 90 degrees.
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What is the measure of the smaller acute angle in a right triangle if one of the angle is 4 times the other?
Since the angles of a triangle add up to 180°, if one of the angles is a right angle (definition of a right triangle) then the sum of the other two will be 90°. If we designate the measure of the smaller acute angle as "x" then the other angle will be "4x" and: x + 4x = 90° so 5x= 90° and x = 18°
In the right triangle the ratio of the measures of the two acute angles is 4 1 what is the measure in degrees of the larger acute angle?
The 4 to 1 ratio of the two acute angles can be restated as the larger acute angle is four times as large as the smaller acute angle. Since the sum of all angles in a triangle equal 180 degrees, the sum of the two acute angles will be equal to 90 degrees. The remaining 90 degrees are found in the right angle present in all right triangles. If we divide the 90 degrees of the acute angles by 5 (to get the five parts of our ratio) and ascribe 4 of those parts to the largest acute angle we can find the size of that angle by multiplying (90 / 5) x 4 = (18) x 4 = 72. Therefore the largest acute angle is 72 degrees and the smaller acute angle is 18 degrees for a total of 90 degrees. Answer: 72 degrees
What triangle has a right angle and 2 acute angles?
an isocelesANS2:Any triangle that has one right angle will have 2 acute angles. An acute angle is less than 90 degrees and the sum of all angles in a triangle is 180 degrees. The sum of the other two angles would have to add to 90 degrees so they would both have to be less than 90 degrees.
An angle that is the supplement of an acute angle must be what?
If one angle is the supplement of another, we know that their sum is 180 degrees.So let one angle be A and the supplement be B. 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. Remember obtuse angle is one that less than 180 degrees and more than 90.
Why Do triangles have 2 acute angles?
The sum of all three angles is 180 degrees. If there are not two acute angle then there are two (or more) angles that are 90 degrees or more. So those two angles sum to 180 degrees of more and so the third angle must have a negative measure - and that is not possible.
Is the sum of the measure of an acute angle and measure of a right angle always greater than 90 degrees?
yes, since a right angle is 90 degrees and an acute is greater than 0
What is the sum of acute angle is?
The sum of one angle is simply the measure of that angle.
What is the sum of an acute angle and a right angle?
An obtuse angle.
Can a triangle have a right angle and an acute angle?
No A right angle has 90 degree A triangle has 180 degreeYes, a right triangle has one right angle and two acute angles. The sum of the acute angles is 90°.
What is the angle sum of the acute angle of a right angled triangle?
The Answer is 270
One acute angle of a right angle is 42 degrees what is the measure of the other acute angle?
Since all triangles are 180 degrees, and since you now that the sum of two of the three angles is 132, you just have to subtract that from 180 to get 48 for the final angle's measure.
What is the measure of the smaller acute angle in a right triangle if one of the angle is 4 times the other?
Since the angles of a triangle add up to 180°, if one of the angles is a right angle (definition of a right triangle) then the sum of the other two will be 90°. If we designate the measure of the smaller acute angle as "x" then the other angle will be "4x" and: x + 4x = 90° so 5x= 90° and x = 18°
The sum of two acute angles is something always or never an obtuse?
The sum of two acute angles is sometimes an obtuse angle because, acute angles can measure from 10 to 90 degrees. Two 30 degree angles would both be acute whose sum would only create another acute angle of 60 degrees. But, two80 degree angles would both be acute angle whose sum would only create an obtuse angle.
Is the sum of the measure of an acute angle and the measure of an obtuse angle always greater than 180 degree?
Not not always since an obtuse angle is always greater than 90 degrees and an acute angle is always less than 90 degrees.
What is the angle sum of the sizes of the acute angles of a right angled triangle?
A right angle triangle has a 90 degree angle and two acute angles and the 3 angles add up to 180 degrees
Is the sum of the measures of two acute angles equal to the measure of an obtuse angle?
Only if their sum is greater than 90 degrees
What kind of triangle has one right angle and two acute angles?
A right angle has a 90-degree and in two acute angles.
