Complementary angles are angles whose sum is 90 degrees.
This means that we can make an equation.
[tex](8x-23)+(7x-7)=90[/tex]
[tex]15x-30=90[/tex]
[tex]15x=120[/tex]
[tex]x=8[/tex]
Then we can plug in the value we got into the express for angle A's measure.
[tex]8(5)-23[/tex]
[tex]40-23[/tex]
[tex]17[/tex]
The measure of angle A is 17 degrees.
Hope this helps.
頑張って!
