Final Answer:
d. 55°the properties of straight lines and supplementary angles allows us to easily compute the measure of ∠DG based on the given information, ultimately arriving at the solution of 55°.
Step-by-step explanation:
The measure of ∠DG is 55°. This angle can be determined by applying the properties of a straight line (∠ADE + ∠EDG = 180°) and the knowledge that ∠ADE is 125°. Therefore, subtracting 125° from 180° gives us the measure of ∠EDG, which equals 55°.
To find the measure of ∠DG, it's crucial to understand that the sum of angles on a straight line is always 180°. Thus, subtracting the known angle (∠ADE = 125°) from 180° gives the measure of the unknown angle (∠EDG = 55°). Therefore, the final answer for ∠DG is 55°.
The angle ∠DG forms a straight line with ∠ADE, resulting in a supplementary angle relationship. This means that the total sum of these two angles is 180°. By subtracting the given angle (∠ADE = 125°) from 180°, we derive the measure of ∠EDG as 55°. Therefore, the measure of ∠DG is also 55°, satisfying the conditions of a straight line's angles totaling 180°.
Understanding the properties of straight lines and supplementary angles allows us to easily compute the measure of ∠DG based on the given information, ultimately arriving at the solution of 55°.