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Angle and its complement have a sum of 90 degrees: A+C = 90 Angle plus five times its complement is 298 degrees: A+5C = 298 Subtract first equation from the second: 4C = 208 C = 52 So, the complement is 52 degrees and the angle is 38 degrees

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Q: An angle and its complement always have a sum of 90 degrees. The sum of the measures of an angle and five times its complement is 298 degrees. What is the measure of the angle?
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What is the measure of each angle of a regular polygon with 7 sides?

A regular polygon has sides of equal length, as well as interior angles of equal measure. But for any regular polygon, the sum of the measures of the exterior angles is 360 degrees. You can use this information to find out the measure of an interior angle, because the sum of the measures of each interior/exterior pair of angles is always 180 degrees. So to find the answer to this problem, divide 360 by 7. Each exterior angle is about 51.4 degrees. Subtract that number from 180. Each interior angle is about 128.6 degrees.


An angle and its complement are congruent sometimes always or never?

Sometimes. An angle's compliment is simply what other angle would it take to add up to 90 degrees. If the starting angle was 45 degrees, then its compliment would also be 45 degrees.


What is the measure of the vertex angle of an isosceles triangle if one of its base angles measures 42?

If you are dealing with an isosceles triangle, if one of the base angles measures 42 degrees then the other base angle measures 42 degrees. (By definitioin an isosceles triangle has at least 2 equal sides and the angle opposite those sides with be equal.) If you add up the degrees in each angle within a triangle, it will always equal 180 degrees. Knowing all this you can set up a formula: Angle 1 + Angle 2 + Angle 3 = 180 42 + 42 + Angle 3 = 180 Angle 3 = 96 degrees


Write a general statement concerning the sum of the measures of the angles of a triangle?

The sum of the three interior angles of a triangle always total 180 degrees.


Is the following statement always true. sometimes true or never true Explain your reasoning. Two congruent angles that are complementary both measure 45?

It is always true because two congruent angles that are complementary both measure 45 degrees.

Related questions

Find the measure of the complement of 25 degrees?

The complement to 25 degrees would be 65 because 25 + 65 = 90. Complementary angles are always equal to 90 degrees, no more, no less.


If the measures of an angle and its complement are in the ratio 1 to 2 what is the measure of the complement?

60 degrees. An angle and its complement always add up to 90 degrees. Because the ratio is 1:2, you know that there are three parts total (add the two sides of the ratio to get the total number of parts). Therefore, you can restate the ratio as 1/3 to 2/3. 2/3 of 90 is 60. So, the angle of the complement is 60 degrees.


If an angle measures over 90 degrees what is its complement?

obtuse angle * * * * * The complement of an angle greater than 90 degrees is not an obtuse angle! It would be a negative angle, whose measure would be 90 minus the angle whose complement you require. This would only make sense if the direction in which the angles were measured were fixed. For example bearings, which are always measured in the clockwise direction.


What is the sum of the exterior angles of a polygon when measures 45 degrees?

The sum of the exterior angles of a polygon, whatever the measure of each one, is always 360 degrees.


What is the measure of the third angle in a triangle if the other two angle measures are 44 and 77?

59 degrees. The sum of the three angles is always 180.


What is a 30-60-90 right triangle?

in a 30-60-90 right triangle, a right angle is always 90 degrees, the smallest angle has a measure of 30 degrees, and the remaining angle measures 60 degrees.


What total angle measures always equal 360 degrees?

Circles measure 360 degreesAny quadrilateral as well.Try to picture this, if you take a rectangle, and make a diagonal line across it, you have two triangles. Triangles will ALWAYS measure up to 180 degrees, so since you have two, 180X2=360


The total of the angle measures of a----------- is always 180 degrees?

triangle


What is the sum of the measures of the exterior angles?

360 degrees always


What is the measure of the third angle of a triangle if the other two angle measures are 60 degrees?

The three internal angles of a triangle always add up to 180 degrees.Two angles of 60 degrees make 120 degrees, leaving a further 60 degrees.


How do you find the complement of an angle that is over 90 degrees?

It would be a negative angle, whose measure would be 90 minus the angle whose complement you require. This would only make sense if the direction in which the angles were measured were fixed. For example bearings, which are always measured in the clockwise direction.


What is the attributes of the right angle?

A right angle is a geometric figure with two perpendicular lines meeting at a point. Its attributes include having a measure of exactly 90 degrees and forming a square corner. Additionally, the sum of the measures of the angles in a right triangle is always 180 degrees.