Math  /  Geometry

QuestionGiven mnm \| n, find the value of x .
Answer Attempt 1 outb) 2 x=x= \square Submit Answer

Studdy Solution

STEP 1

What is this asking? We need to find the value of an angle (xx) given two parallel lines and a line crossing them, knowing one of the angles is 3535^\circ. Watch out! Don't mix up corresponding and alternate angles!

STEP 2

1. Identify the angle relationship.
2. Calculate xx.

STEP 3

Alright, so we've got two **parallel lines**, mm and nn, and another line cutting across them, which we call a **transversal**!
The angle we know, 3535^\circ, and the angle we want to find, xx, are on the same side of the transversal and below each of the parallel lines.
These are called **corresponding angles**.

STEP 4

Corresponding angles are **congruent**, which is a fancy way of saying they're **equal**!
This is because of the parallel lines.
If the lines weren't parallel, the angles wouldn't be equal.

STEP 5

Since the angles are corresponding, we know that xx must be equal to the other corresponding angle.
So, we can write: x=35 x = 35^\circ

STEP 6

The value of xx is 3535^\circ.

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