Question

Examine the angle Pair relationships in the diagram at right. Then write and solve equations for x and y, if possible. Justify your work using angle relationships.

Answer 1

The required value of the angles x and y is 40° and 51°.

Given that,
The angle pair relationships in the diagram, To write and solve equations for x and y,

What is the equation?

The equation is the relationship between variables and is represented as y =ax +b    is an example of a polynomial equation.

Here, two parallel lines intersected by a line,

Here,
by intersection through transversal line y  and 119° are two supplementary angles.
\The sum of the supplementary angle is 180,
119 + y = 180
y = 180 - 119
y = 51°

Now 5x +11 and y are corresponding angles for parallel lines,
y  = 5x + 11
51° = 5x + 11°
x = 40°

Thus, the required value of the x and y is 40° and 51°.

Learn more about the equation here:

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