SOLUTION: An angle measures 46� more than the measure of a complementary angle. What is the measure of each angle?

Question 1078197: An angle measures 46� more than the measure of a complementary angle. What is the measure of each angle?

Answer by ikleyn(52905) (Show Source): You can put this solution on YOUR website!
.

an Angle + the Complementary angle = 90 degrees.


Let x be the measure of the angle under the question.


Then the measure of the Complementary angle is (x+46) degrees, and you have this equation 

x + (x+46) = 90,   or

2x+ 46 = 90,   or  2x = 90 - 46 = 44.


Then x =  = 22.


Answer.  The given angle has the measure of 22 degrees.

         The complementary angle is 90-22 = 68 degrees.


Check.  68 - 22 = 44 degrees.   Correct !!

On Complementary angles see the lesson
    - Angles basics
in this site.

On solved problems similar to your see the lesson
    - Solved problems on supplementary and complementary angles
in this site.

Also, you have this free of charge online textbook on Geometry
    GEOMETRY - YOUR ONLINE TEXTBOOK
in this site.

The referred lessons are the part if this textbook under the topics
"Basics of angles. Supplementary, complementary angles. Vertical angles. Parallel lines" and
"Finding angles of triangles, parallelograms and rectangles".

RELATED QUESTIONS
An angle measures 46� more than the measure of a complementary angle. What is the measure (answered by MathLover1)

An angle measures 62Degrees more than a complementary angle. What is the measure of each... (answered by mathsolverplus,greenestamps)

An angle measures 38� more than the measure of a complementary angle. What is the measure (answered by MathLover1)

An angle measures 8� more than the measure of a complementary angle. What is the measure... (answered by rfer)

An angle measures 86� more than the measure of a complementary angle. What is the measure (answered by algebrahouse.com)

An angle measures 66� more than the measure of a complementary angle. What is the measure (answered by waynest)

An angle measures 50� more than the measure of a complementary angle. What is the measure (answered by Fombitz)

An angle measures 16� more than the measure of a complementary angle. What is the measure (answered by Fombitz)

An angle measures 52� more than the measure of a complementary angle. What is the measure (answered by checkley79)