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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 else can I help you with?
How many degrees does each angle of an equilateral triangle measure?
Each of the 3 angles measures 60 degrees. There are 180 degrees in a triangle.
If two angles of a triangle measure 15 and 85 what is the measure for the third angle?
The sum of the measures of the angles in any triangle in the plane is 180 degrees. If two angles are 15 and 85 then their sum is 100 degrees and 180-100=80 degrees
What type of triangle measures 60 degrees?
The 3 interior angles of an equilateral triangle each measures 60 degrees
If a triangle has two angles with measures that add up to 100 degrees what must the measure of the third angle be?
The 3rd angle must be 80 degrees because the 3 angles in any triangle add up to 180 degrees.
In any triangle the measure of the exterior angle is equal to the sum of the measures of the?
In any triangle exterior angle plus interior angles = 180 degrees
How many degrees does each angle of an equilateral triangle measure?
Each of the 3 angles measures 60 degrees. There are 180 degrees in a triangle.
Two angles of a triangle have measures 46 degrees and 57degrees what is the measure of the third angle?
77 degrees
What is the measure of the third angle of the triangle if the measures of two angles of a triangle are 35deg and 45deg?
The missing angle measure is 100 degrees.
If two angles of a triangle measure 15 and 85 what is the measure for the third angle?
The sum of the measures of the angles in any triangle in the plane is 180 degrees. If two angles are 15 and 85 then their sum is 100 degrees and 180-100=80 degrees
If the measures of two angles of an isosceles triangle are 54 degrees and 63 degrees what is the measure of the third angle?
63 degrees
What is the measure of the third angle of a right triangle if one of the angles measures 50 degrees?
The other acute angle in that triangle is 40 degrees.
Is the sum of the measures of the angles is 180 degrees?
In a triangle, the sum of the measures of the angles is 180 degrees.
What could the measure of the acute angles in a right triangle be?
Any 2 angles that add up to 90 degrees because there are 180 degrees in a triangle and a right angle measures 90 degrees
What is measure of vertex angle in a golden triangle?
If you mean the golden rectangle then each of its 4 interior angles measures 90 degrees but if you mean an equilateral triangle then each of its 3 interior angles measures 60 degrees
If two angles of a right triangle each measures 54 degrees what is the measure of the third angle?
To solve this, use the fact that the sum of all three angles, in a triangle, is 180 degrees.
If the measures of two angles of an isosceles triangle are 54 and 63 degrees what is the measure of the third?
In an isosceles triangle, two angles are equal. Since the angles provided are 54 degrees and 63 degrees, the equal angles must be 54 degrees. The sum of the angles in any triangle is 180 degrees. Thus, the measure of the third angle is calculated as follows: 180 - 54 - 54 = 72 degrees.
The sum of the measures of two exterior angles of a triangle is 255 degrees What is the measure of the third exterior angle?
105 degrees
