SOLUTION: Recall that two angles are complementary if the sum of their measures is 90�. Find the measures of two complementary angles if one angle is eight times the other angle.

Question 1079350: Recall that two angles are complementary if the sum of their measures is 90�. Find the measures of two complementary angles if one angle is
eight
times the other angle.
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
.

Let "x" be the measure of the smaller angle.

Then the measure of the larger angle is 8x, according to the condition.


Since the angles are complementary, you have this equation

x + 8x = 90 degrees,   or

9x = 90,

x =  = 10 degrees.


Answer. The smaller angle is of 10 degrees. The larger angle is of 80 degrees.

If you want to see more samples of similar solved problems, look into the lessons
    - Solved problems on supplementary and complementary angles
    - Angles basics
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
"Finding angles of triangles, parallelograms and rectangles" and
"Basics of angles. Supplementary, complementary angles. Vertical angles. Parallel lines".

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SOLUTION: Recall that two angles are complementary if the sum of their measures is&#8203; 90�. Find the measures of two complementary angles if one angle is eight times the other angle.

SOLUTION: Recall that two angles are complementary if the sum of their measures is 90�. Find the measures of two complementary angles if one angle is eight times the other angle.