Nicolelagdameoidn
Answered

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two angles , x and y , form a linear pair. if x= 5y,find x and y

Sagot :

Linear pair are supplementary angles.  
The sum of supplementary angles is 180 degrees.
(Proof:  Definition of supplementary angles)

Add the supplementary angles:
x + y = 180°
x = 5y

Substitute 5y to x in x + y:
5y + y = 180°
6y = 180°
6y/6 = 180°/6
y = 30°

Therefore:
x = 5y ⇒  5(30°) = 150°
y = 30°

ANSWER:  x = 150°    and     y = 30°

Check:
150° + 30° = 180°
Always remember that angles forming a linear pair are adjacent angles forming a straight angle (180°). 

Therefore, we will have this equation...
5y + y = 180
6y = 180
[tex] \frac{6y}{6} = \frac{180}{6} [/tex]
y = 30
x = 5y = 5 (30) = 150

150 + 30 = 180