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.
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".
