x and y are complementary. Any Corresponding pair of x and y are solution. If x = 30⁰, y = 60⁰
What is linear angle?
A linear angle is an angle that measures 180 degrees. It forms a straight line, with its arms extending in opposite directions. In geometric terms, it is a supplementary angle pair.
From the figure
Given
Two parallel lines and a transversal
To find x and y using the given information:
Corresponding angles: y = 90 - x
Linear angles: y + (90 + x) = 180
Substitute the expression for y from the first equation into the second equation:
(90 - x) + (90 + x) = 180
90 + x =180 -y
x + y = 180 -90
x + y = 90
x and y are complementary
any Corresponding pair of x and y are solution.
Let's choose a specific value for x and find the corresponding y
Let's say x = 45.
1. Corresponding angles: y = 90 - x
y = 90 - 45 = 45
2. Linear angles: y + (90 + x) = 180
45 + (90 + 45) = 180