Respuesta :
Answer:
Greater angle=75° Smaller angle=15°
Step-by-step explanation:
Given expressions
- x+y=90
- y=[tex]\frac{x}{5}[/tex]
⇒[tex]y=\frac{x}{5}\\ x=5\times y[/tex]
Substitute this in the first expression
⇒ x+y=90
[tex]5\times y+ y=90\\6\times y =90\\y=\frac{90}{6} \\y=15[/tex]
From the First expression
Substitute y value to get x value
⇒[tex]x+y=90\\x+15=90\\x=75[/tex]
Therefore x=75 and y=15
⇒ Greater angle=75 and smaller angle=15
