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This figure shows 3 intersecting lines.
The measure of 
/_CGD is 
5^(@) greater than the measure of 
/_BGC. What is the measure of 
/_CGD ?
A. 
72^(@)
B. 
62^(@)
C. 
59^(@)
D. 
54^(@)

This figure shows 33 intersecting lines.\newlineThe measure of CGD \angle C G D is 5 5^{\circ} greater than the measure of BGC \angle B G C . What is the measure of CGD \angle C G D ?\newlineA. 72 72^{\circ} \newlineB. 62 62^{\circ} \newlineC. 59 59^{\circ} \newlineD. 54 54^{\circ}

Full solution

Q. This figure shows 33 intersecting lines.\newlineThe measure of CGD \angle C G D is 5 5^{\circ} greater than the measure of BGC \angle B G C . What is the measure of CGD \angle C G D ?\newlineA. 72 72^{\circ} \newlineB. 62 62^{\circ} \newlineC. 59 59^{\circ} \newlineD. 54 54^{\circ}
  1. Assign Variable: Let xx represent the measure of BGC\angle BGC. Then, the measure of CGD\angle CGD is x+5x + 5^{\circ}.
  2. Use Additional Information: The problem likely provides additional information about the angles formed by the intersecting lines, such as linear pairs or vertical angles, which are equal. Without this information, we cannot solve for xx.

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