2 answers:
a + b = 90
angle a= x°
angle b= (2x+75)°
3x + 75 = 90 subtract 75 from both sides
3x= 15 divide by 3
x=5
a = 5
5+b = 90 subtract 5 from both sides
b = 85
if ∡a and ∡b are complementary angles, that simply means that ∡a + ∡b = 90°.
![\bf \stackrel{\measuredangle a}{x}~~+~~\stackrel{\measuredangle b}{2x+75}~~=~~90\implies 3x=15\implies x=\cfrac{15}{3}\implies \boxed{x=5} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{\measuredangle a}{5}~\hspace{7em}\stackrel{\measuredangle b}{2(5)+75}\implies 85](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7B%5Cmeasuredangle%20a%7D%7Bx%7D~~%2B~~%5Cstackrel%7B%5Cmeasuredangle%20b%7D%7B2x%2B75%7D~~%3D~~90%5Cimplies%203x%3D15%5Cimplies%20x%3D%5Ccfrac%7B15%7D%7B3%7D%5Cimplies%20%5Cboxed%7Bx%3D5%7D%0A%5C%5C%5C%5C%5B-0.35em%5D%0A%5Crule%7B34em%7D%7B0.25pt%7D%5C%5C%5C%5C%0A%5Cstackrel%7B%5Cmeasuredangle%20a%7D%7B5%7D~%5Chspace%7B7em%7D%5Cstackrel%7B%5Cmeasuredangle%20b%7D%7B2%285%29%2B75%7D%5Cimplies%2085)
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