One of the angles formed by two intersecting straight lines is 25 degrees. Find the values for the remaining angles.

In this problem, we need to find all the angles if one of the angles formed by two intersecting straight lines is 25 degrees.

Draw two intersecting lines. They resemble the letter X.
Four corners formed. Designated: 1, 2, 3 and 4.
Corner 1 is opposite corner 3 and corner 2 is opposite corner 4.
Let the angle indicated by the number 1 be 25 degrees.

Vertical angles are two angles that have a common vertex and are formed at the intersection of two straight lines so that the sides of one corner are a continuation of the sides of the other.That is, angles 1 and 3 are vertical angles and 2 and 4 are also vertical angles.

Since angles 1 and 3 are vertical and angle 1 is 25 degrees (by condition), we get that angle 3 is also 25 degrees.

Angles 2 and 4 are also vertical and, according to the theorem on vertical angles, are equal, so it is enough to find the value of one of these angles.

Adjacent corners are a pair of corners with a common vertex and one common side.

Adjacent Angle Theorem: The sum of adjacent angles is 180 degrees.

Angle 1 and angle 2 are adjacent. We use the theorem. We get: Angle 2 = 155 degrees.

This means that the angle 4 is also equal to 155 degrees. Because they are vertical.