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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°
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
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
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