Respuesta :
Answer:
one angle 100
another angle=80
Step-by-step explanation:
supplementary angles =180
4x+5x=180
9x=180
x=180/9=20
one angle=5x=5(20)=100
another angle=4x=4(20)=80
100+80=180
Answer:
[tex] \boxed{ \boxed{ \bold{ \purple{80 \: , 100}}}}[/tex]
Step-by-step explanation:
Let the ratios be 4x and 5x
[tex] \sf4x + 5x = 180[/tex] ( sum of supplementary angle )
Collect like terms
⇒[tex] \sf{9x = 180}[/tex]
Divide both sides of the equation by 9
⇒[tex] \sf\frac{9x}{9} = \frac{180}{9} [/tex]
Calculate
⇒[tex] \sf{x = 20}[/tex]
Value of x = 20
Now, let's replace the value,
⇒[tex] \sf4x = 4 \times 20 = 80[/tex]
⇒[tex] \sf5x = 5 \times 20 = 100[/tex]
Hope I helped!
Best regards!!