If m image of an angle symbol 1 = 43°, what is m image of an angle symbol 4?
A. 53°
B. 43°
C. 37°
D. 27°
To determine the measure of angle symbol 4, we need to understand the relationship between angle symbol 1 and angle symbol 4. In geometry, angles that are formed by intersecting lines are classified based on their relationship with one another. Two important types of angles are vertical angles and supplementary angles.
1. Vertical angles: When two lines intersect, they form four angles. The angles that are opposite each other (across the intersection point) are called vertical angles. Vertical angles are congruent, meaning they have the same measure. In this case, angle symbol 1 and angle symbol 4 are vertical angles.
2. Supplementary angles: Two angles are said to be supplementary if their measures add up to 180°. If we know the measure of one angle, we can find the measure of its supplementary angle by subtracting the measure of the given angle from 180°.
Since angle symbol 1 has a measure of 43°, angle symbol 4 must also have a measure of 43°. Therefore, the answer is B. 43°.