1.7. Complementary Angles http://www.ck12.org
Because the two angles are complementary, they add up to 90◦. Make an equation.
x+ 34 ◦= 90 ◦
x= 56 ◦Example B
The two angles below are complementary. Find the measure of each angle.
Again, the two angles add up to 90◦. Make an equation.
8 r+ 9 ◦+ 7 r+ 5 ◦= 90 ◦
15 r+ 14 ◦= 90 ◦
15 r= 76 ◦
r≈ 5. 1 ◦However, this is not what the question asks for. You need to plugrback into each expression to find each angle.
Form^6 GHI: 8( 5. 1 ◦)+ 9 ◦= 49. 8 ◦, som^6 GHI≈ 49. 8 ◦.
Form^6 JKL: 7( 5. 1 ◦)+ 5 ◦= 40. 7 ◦, som^6 JKL≈ 40. 7 ◦.
Example C
Name one pair of complementary angles in the diagram below.
One example is^6 INJand^6 JNK.
Watch this video for help with the Examples above.