Step-by-step explanation:
so, the main equation for the 2 angles x and y is
x - y = 7°
we know also, that the 2 angles are complementary (NOT complimentary) :
complimentary means
1.
expressing a compliment; praising or approving.
"Jennie was very complimentary about Kathy's riding"
Similar:
flattering
appreciative
congratulatory
...
2.
given or supplied free of charge.
"a complimentary bottle of wine"
Similar:
free
free of charge
gratis
complementary means :
combining in such a way as to enhance or emphasize the qualities of each other or another.
"three guitarists playing interlocking, complementary parts"
so, the angles are complementary, meaning in math that they together have 90°, which gives us the second equation :
x + y = 90°
that gives us e.g.
x = 90 - y
and we can use that identity in the first equation :
(90 - y) - y = 7
90 - y - y = 7
90 - 2y = 7
83 - 2y = 0
83 = 2y
y = 83/2 = 41.5°
x = 90 - y = 90 - 41.5 = 48.5°
