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x = 96 and y = 84

Step-by-step explanation:

Given

A Point

Angles x,y and 84 degrees

Required

Find x and y

First, we should note that angle x and 84 degrees are supplementary.

Two angles are said to be supplementary if they add up to 180 degrees

i.e. x + 84 = 180

x + 84 = 180

Make x the subject of formula

x = 180 - 84

x = 96

In the similar vein, angle x and y are supplementary.

so, x + y = 180

Substitute 96 for x

So, we have

96 + y = 180

make y the subject of formula

y = 180 - 96

y = 84

Hence, x = 96 and y = 84

Solve 5y - x = 1 for y such that y = mx + b so we can extract the slope.
y = 1/5x + 1/5
Perpendicular lines have opposite signed reciprocal slopes.
1/5 would have an opposite signed (-) reciprocal (5) slope of -5

Now let's find b by substituting the values of y, m, and x into y = mx + b:
-1 = -5(2) + b
-1 = -10 + b
9 = b
So the equation is y = -5x + 9 or 5x + y = 9