8.Ratio of two angles of a linear pair is 2:1 . find the angles
Answers
Step-by-step explanation:
the sum of the angles of a linear pair is equal to 180 degrees.
let x represent one of the angles.
let y represent the other of the angles.
you get x + y = 180
since the ratio of one of the angles to the other is 2:1, then you get:
y = 2x which makes y the angle that has a 2:1 ratio to x.
substitute for y in the equation of x + y = 180 to get:
x + 2x = 180
combine like terms to get:
3x = 180
divide both sides of the equation by 3 to getr:
x = 60 degrees.
that makes y = 2x = 120 degrees.
the 2 angles are 60 degrees and 120 degrees
Answer:
120° and 60°
Step-by-step explanation:
let the common ratio be x
so,
2x + 1x = 180° ( linear pair = 180°)
then,
3x=180°
x=180÷3
x=60°
The angles are :
2x = 2×60= 120°
x = 60°
hope it's helpful to you
Thnku !!!!