Interior angles on parallel lines cut by a traversal are supplementary (they add up to 180°). These can be identified as "c" angles, due to their shape. Knowing this, we can figure out the value of x:
7x+(2x+36)=180
7x+2x+36=180
Simplify the equation
9x+36=180
Collect like terms
9x=144
Divide by 9 on both sides to isolate x
x=16
The components are Nx= Ncosθ and Ny= -Nsinθ
<h3>What is a Vector?</h3>
We know that the vector quantities are those quantities that have magnitude as well as direction.
Each vector quantity can be divided into two parts a horizontal and vertical component, the vertical component is known as the sine component while the horizontal component is known as the cosine component.
A vector component is the product of its length and the component angle.
Generally, F sinθ is the vertical component and F cosθ is the horizontal component,
Now, from the diagram the horizontal component of vector 'r' is
Nx= Ncosθ
and, the vertical component will be
Ny= -Nsinθ
this is in the opposite direction
Learn more about vectors here:
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