Answer:
36°
Step-by-step explanation:
let x be the required angle then
x = [tex]\frac{2}{3}[/tex] ( 90 - x) [ complementary angles sum to 90° ]
x = 60 - [tex]\frac{2}{3}[/tex] x ( add [tex]\frac{2}{3}[/tex] x to both sides )
[tex]\frac{5}{3}[/tex] x = 60 ( multiply both sides by [tex]\frac{3}{5}[/tex] )
x = 36°
note 36° is [tex]\frac{2}{3}[/tex] of 54°
