To find the measures of the other three angles formed by the intersection of two lines in a plane, we need to understand some concepts related to angle properties.
When two lines intersect, they form four angles, known as vertical angles or opposite angles. These angles are equal in measure. Therefore, if one of the angles formed by the intersection is a 53-degree angle, each of the other three angles will also measure 53 degrees.
This is because vertical angles are congruent, which means they have equal measure. So, if angle A measures 53 degrees, the vertical angle across from it, angle B, will also measure 53 degrees. Similarly, the other two angles, C and D, will each measure 53 degrees.
To summarize, the other three angles formed by the intersection of two lines in a plane will also measure 53 degrees each, as they are vertical angles and congruent to the given 53-degree angle.