# If an angle has five times the measure of a complement to it what is the measure of the angle?

15°

### The comlpement of an angle is five times the measure of the angle itself find the angle and its complement?

Complementary angles add up to 90 degrees. If one angle is five times the measure of the other, you can express their measurements as 5x and x. The original angle is x degrees and its complement is 5x degrees. Set the sum of the two angles equal to 90 and solve for x. 5x + x = 90 6x = 90 x = 15 The angle is 15 degrees. Its complement is 5(15) = 75…

### In triangle mnp the measure of angle m is 24 the measure of angle n is five times the measure of angle p find the measure of angle n?

130 Degrees 180-24=156 So you know that the sum of all the angles is 180, so the sum of the other two angles is 156. You Know that angle p is equal to some number x. And you know the angle n is five times some number x or 5x. You know the sum of the two angles numerically and algebraically. 6x=156 x=26 n=5x n=5(26) n=130

### What is the Measure of an angle if twice the measure of its supplement is thirty more than five times the measure of its supplement?

The supplement of an angle is (180) minus (the angle). Here we have an angle 'A', and we are told that: 2( 180 - A ) = 30 + 5( 180 - A ). We calculate: 360 - 2A = 30 + 900 - 5A = 930 - 5A (clear parentheses) 3A = 570 (Add 5A - 360 to both sides) A = 190 (Divide both sides by 3) Check: Its supplement is (180…

### Two angles are supplementary three times the measure of the smaller angle is five less than twice of the measure of the larger angle find the measure of each angle?

The angles are supplementary ===> A + B = 180 ===> A = 180 - B. Next statement: 3A = 2B - 5 (We don't know or care yet which one is larger, nor do we need to. That will come out on its own.) Substitute the first into the second: 3(180-B) = 2B-5 ===> (540-3B) = (2B-5 ) ===> 540 = 5B-5 ===> 545 = 5B 109 = B ===> 71 = A

### How do you find out a ninety degree angle without a protractor?

Use a "three four five" triangle. Having one leg measure exactly three inches, the other leg exactly four inches, and the hypotenuse measure exactly five inches will yield a ninety degree angle. If you are drawing out the triangle, it may be easier to measure a three inch line using a straightedge and then use a compass to find the point of intersection for the other leg and the hypotenuse.

### Two angles are complimentary if their sum is 90 degrees. find the angles of two complimentary angles if the second is five times the first?

you have two unknowns: angle one (which we can call x), and angle 2 (which we can call y) when you have 2 unknowns, you need to set up 2 equations since they are complimentary, you know that 90 = x + y we know that the second is 5 times the first, so x = 5y if we substitute 5y for x in the first equation, we get: 90 = 5y + y =…

### What type of polygon must have angles that each measure 108?

Assuming that you mean the inside angle is 108 the answer is a pentagon. Each angle inside the polygon forms an acute angle on the outside with the next side. The measurement of the exterior acute angle is: 180 - 108 = 72 . Since all the acute angle around the outside must add up to 360 we find: 360 / 72 = 5 There are five acute angles and therefore five sides to the…

### In a regular polygon the ratio of the measure of the exterior angle to the measure of the adjacent interior angle is 4 to 1 how many sides does the polygon have Please show your work?

This is not possible for a normal regular polygon. (A regular polygon has all equal angles and all equal sides. A normal polygon has no intersecting edges.) The smallest regular polygon is an equilateral triangle (a three sided polygon), whose exterior angle measure is twice the measure of its interior angle. A four-sided polygon (a square) has equal interior and exterior angle measures of 90⁰. Starting from a five-sided polygon, the exterior angle measure is…

### Find tan if an angle in standard position and the point with coordinates negative twelve and positive five lies n the terminal side of the angle?

If you draw this angle in a coordinate system, a right triangle is formed in the second quadrant, with length legs 12 and 5 units. If you label with O the angle that is formed by the terminal side and y-axis, you have tan O = 12/5 and O = tan-1 12/5 = 67.38 degrees Thus, the given angle has a measure of 157.38 degrees (90 + 67.38).