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let x=smaller angle
2x-6=larger angle

x+(2x-6)=90
3x-6=90
3x=96
x=32
2x-6=58

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If one angle is 10 more than 3 times as large as another angle which is complementary to it what is the measure of the smaller angle?

The smaller angle is 20 degrees and the larger is 70 degrees. Complementary angles total 90 degrees. Let's call the smaller angle A. The other angle is 3A + 10. The sum of both angles is 90, so 4A +10 = 90, 4A = 80, A = 20. The larger angle is 3(20) + 10 = 70.


Wo angles are complementary the second angle measures 32 degrees less than the first angle What is the measure of the first angle?

29 degrees Let x represent the number of degrees of the smaller angle and y the number of degrees of the larger angle. Because the angles are complementary, x+y=90. From the problem, x=y-32. Now solve the equations by substituting x from the second into the first: y-32+y=90 2y-32=90 2y=90+32=122 y=122/2=61 x=y-32=61-32=29


What angle measures 26 degrees?

An angle that measures 26 degrees would be considered an "acute" angle. This is because its degrees measurement in smaller than 90. Anything above 90 would be considered "obtuse".


If the measures of two complementary angles are y and y-16 find the measure of the smaller angle?

Two complementary angles add up to 90°. So we have, y + (y - 16) = 90 2y - 16 = 90 add 16 to both sides; 2y = 106 divide by 2 to both sides; y = 53 y - 16 = 53 - 16 = 37 Thus the smallest angle is 37°.


What is an angle called that measures 300 degrees?

An angle that measures 300 degrees is called a "reflex angle." A reflex angle is an angle that is greater than 180 degrees but less than 360 degrees. In this case, a 300-degree angle is greater than a straight angle (180 degrees) but less than a full rotation (360 degrees).

Related Questions

Two angles are complementary One angle has a measure that is five times the measure of the other angle What is the measure in degrees of the larger angle?

Complementary angles are angles that add up to 90 degrees. If the smaller angle is x, the larger is 5x, so 6x = 90. X equals 15, and the larger angle measures 75 degrees.


Two angles are complementary the sum of the measures of the larger angle and three times the measure of the smaller angle is 114 degrees what is the measure of each angle?

The question is contradictory as complimentary angles are defined as having a sum of 90 degrees.


The measure of an angle is 4 times its complements find the measures of both angles?

Complementary angles total 90 degrees so smaller is 90/5 ie 18 and larger 72.


Two angles are complementary the measure of the larger angle is twice the measure of the smaller angle find the measure of the larger angle?

the larger angle is 60 and the smaller angle is 30.complimentary angles are 2 angles forming 90 degrees.


What is The measure of the smaller of two complementary angles is 15 degrees less than the measure of the larger angle Find the measure of each angle?

Two angles that add up to a right angle are called complementary angles.Let the larger angle be x degrees, then the smallest angle is x - 15 degrees. So we have:x + (x - 15) = 902x - 15 = 902x - 15 + 15 = 90 + 152x = 1052x/2 = 105/2x = 52.5x - 15 = 52.5 - 15 = 37.5Thus, the complementary angles are 37.5 and 52.5 degrees.


An angle that measures smaller than 90 degrees?

A angle that is smaller than 90 degrees is an acute angle.


If one angle is 10 more than 3 times as large as another angle which is complementary to it what is the measure of the smaller angle?

The smaller angle is 20 degrees and the larger is 70 degrees. Complementary angles total 90 degrees. Let's call the smaller angle A. The other angle is 3A + 10. The sum of both angles is 90, so 4A +10 = 90, 4A = 80, A = 20. The larger angle is 3(20) + 10 = 70.


Two angles are complementary If the measure of one angle is 20 more than the measure of the second angle what is the number of degrees in the measure of the smaller angle?

first you have to change this into equation by "translating" it into math. so let x= the first angle 90-x ( because complementary means they add up to 90) = the second angle x= (90-x) + 20 x+x = 90-x+20+x 2x = 90-20 2x = 70 x = 35 the smaller angle = 35 degrees


In the right triangle the ratio of the measures of the two acute anglesis 4 to1What is the measure in degrees of the larger acute angle?

The two acute angles total 90 degrees. If the larger angle is 4 times the smaller angle, then the smaller angle is 18 degrees and the larger angle is 72 degrees (4 x 18 degrees).


Wo angles are complementary the second angle measures 32 degrees less than the first angle What is the measure of the first angle?

29 degrees Let x represent the number of degrees of the smaller angle and y the number of degrees of the larger angle. Because the angles are complementary, x+y=90. From the problem, x=y-32. Now solve the equations by substituting x from the second into the first: y-32+y=90 2y-32=90 2y=90+32=122 y=122/2=61 x=y-32=61-32=29


If one angle is twice its complement then what is the number of degrees in the smaller of the two angles?

Complementary angles add up to 90 degrees. Smaller angle: x Larger angle: 2x 2x+x=90 3x=90 x=30 The smaller angle is 30 degrees.


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.