3
Type the correct answer in each box.
102°
y
P
115⁰
Parallel lines pand q are cut by two non-parallel lines, m and n, as shown in the figure.
9
m
The value of x is
degrees, and the value of yis
degrees.
n

3 Type the correct answer in each box. 102° y P 115⁰ Parallel lines pand q are cut by two non-parallel lines, m and n, as shown in the figure. 9 m The value of class=

Answer :

The value of x  and the value of y in degrees is 78° and  115°.

What are alternate angles?

The angles which lie on the alternate side of the line between two parallel lines.

Parallel lines p and q are cut by two non-parallel lines, m and n, as shown in the figure.

From the corresponding angles property,

Then angle to the side of x is also 102°

From linear angle property,

x +102° =180°

x = 78°

From the corresponding angles property,

Then angle y is  115°

Thus, the value of x  and the value of y in degrees is 78° and  115°.

Learn more about alternate angles.

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