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.
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-> 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.
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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):
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.
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".
