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Two complementary angles have measures in the ratio 2 to 3 what are their measures?
The sum of two complementary angles is 90°.If the ratio is 2:3 then there are 5 parts in total.90 ÷ 5 = 18.The angles measure 2 x 18 = 36° and 3 x 18 = 54°.
In the right triangle the ratio of the measures of the two acute angles is 4 to 1 what is the measures in degrees of the larger acute angle?
the two acute angles have a sum of 90. If the ratio is 4:1, then there are five units to split. Divide the 90 degrees by 5.90/5 = 1818 * 4 = 72So the larger angle has a measure of 72 degrees and the smaller angle is 18 degrees.
How can ratios be written?
A ratio is a comparison of two numbers. You can write a ratio in these ways: a to b, a : b, or a/b. Ratios are often written as fractions. A ratio that is expressed as a fraction is generally written in lowest terms. If the ratio involves unit of measure, you must ensure that the units are the same. Example: Write ratios in lowest terms. 20/52 = (20/4)/(52/4) = 5/13 240/200 = (240/40)/(200/40) = 6/5 There are continued ratio, or extended ratio, which relates more than two numbers. Example: The measures of the angles of a triangle are related by the ratio 3 : 4 : 5. Find the measure of each angle. Solution: The ratio 3 : 4 : 5 is equivalent to 3x + 4x + 5x. We write an equation by using, 3x, 4x, and 5x to represent the measures of the angles. The sum of the angles of a triangle is 180 degrees. So, 3x + 4x + 5x = 180 12x = 180 x = 15 Thus, the measures of the angles are 45 degrees, 60 degrees, and 75 degrees.
What is the measures of the interior angles of a regular polygon if each exterior angle measures 72 degrees?
It is: 180-72 = 108 degrees and it is a regular 5 sided pentagon
What is 630 in the ratio 5 to 4?
350:280
Is it possible to have a triangle whose angle measures are in the ratio 3 to 4 to 5 and whose side lengths are the same ratio?
No. If the angles are in the ratio 3:4:5, the sides will be in the ratio sin(3):sin(4):sin(5) - NOT in the ratio 3:4:5.
Two complementary angles have measures in the ratio 2 to 3 what are their measures?
The sum of two complementary angles is 90°.If the ratio is 2:3 then there are 5 parts in total.90 ÷ 5 = 18.The angles measure 2 x 18 = 36° and 3 x 18 = 54°.
The measures of the angles of a triangle are in the extended ratio 4:5:11. Find the measure of the smallest angle?
bigger than black and white
In the right triangle the ratio of the measures of the two acute angles is 4 to 1 what is the measures in degrees of the larger acute angle?
the two acute angles have a sum of 90. If the ratio is 4:1, then there are five units to split. Divide the 90 degrees by 5.90/5 = 1818 * 4 = 72So the larger angle has a measure of 72 degrees and the smaller angle is 18 degrees.
If the ratio of the measures of two complimentary angles is 1 to 5 then what is the measure of each angle?
15o and 75o
How can ratios be written?
A ratio is a comparison of two numbers. You can write a ratio in these ways: a to b, a : b, or a/b. Ratios are often written as fractions. A ratio that is expressed as a fraction is generally written in lowest terms. If the ratio involves unit of measure, you must ensure that the units are the same. Example: Write ratios in lowest terms. 20/52 = (20/4)/(52/4) = 5/13 240/200 = (240/40)/(200/40) = 6/5 There are continued ratio, or extended ratio, which relates more than two numbers. Example: The measures of the angles of a triangle are related by the ratio 3 : 4 : 5. Find the measure of each angle. Solution: The ratio 3 : 4 : 5 is equivalent to 3x + 4x + 5x. We write an equation by using, 3x, 4x, and 5x to represent the measures of the angles. The sum of the angles of a triangle is 180 degrees. So, 3x + 4x + 5x = 180 12x = 180 x = 15 Thus, the measures of the angles are 45 degrees, 60 degrees, and 75 degrees.
What is the measures of the angles of a triangle are in the ratio of 2 3 5?
They are 36 degrees, 54 degrees and 90 degrees respectively
What is the measure of the smaller of the two supplementary angles 4 to 5?
If 4 to 5 is the ratio then the smaller angle is 80 degrees
Three angles are complementary The ratio of their measures is 235 Find the measure of each angle?
Assuming you meant ratio is 2:3:5 then: A: Since the angles have this ratio, we can express their measures as 2x, 3x, and 5x for some value x. Since the angles are complimentary, their sum must be 90 degrees (pi/2 radians). This means that: 2x+3x+5x = 90 (pi/2) 10x = 90 (pi/2) x = 9 (pi/20) So the angles have measure: 18, 27, 45 degrees or pi/10, 3pi/20, and pi/4 radians
The angles of a triangle are in the ratio 3 to 4 to 5 What is the measure of the smallest angle?
Since the sum of the measures of the angles of a triangle is 180 degrees, then: 3x + 4x + 5x = 180 12x = 180 x = 15 3x = 3 x 15 = 45 4x = 4 x 15 = 60 5x = 5 x 15 = 75 Thus the angles of the triangle are 45, 60, and 75 degrees.
If the internal angles of a triangle are in a ratio 3 5 7. Find the degree measures of the angles. Also find the measure of its greatest exterior angle?
Its interior angles are 36, 60 and 84 degrees respectively with its greatest exterior angle being 144 degrees.
What is the sum of the measures of the interior angles of a regular polygon if each exerior angle measures 72 degrees?
There are 5 interior angles and each one measures 108 degrees (180-72). Since the sum of exterior angles of any polygon is 360⁰, then that polygon would have 5 angles (360/72). So the sum of interior angle measures is 540⁰.
