Using this graph: imgur [dot] com/utSgKI9
Find the measures of angles A and G in the drawing (m is parallel to n) if C=4x-18 and F=2x+34
To find the measures of angles A and G, we need to use the information provided about the lines and angles in the figure.
First, let's identify the angles we are interested in. Angle A is the angle formed by line m and line n, and angle G is the angle formed by line m and line C.
Now, let's use the properties of parallel lines and transversals to find the measures of angles A and G.
When a transversal intersects parallel lines, the corresponding angles are congruent. This means that angle A and angle C are congruent.
A = C
From the information given, we know that C = 4x - 18.
So, A = 4x - 18
To find the measure of angle G, we need to use the property that consecutive interior angles on a transversal are supplementary. This means that the sum of angle A and angle G is equal to 180 degrees.
A + G = 180
Substituting the value of A, we have:
(4x - 18) + G = 180
Now we have two equations:
A = 4x - 18
A + G = 180
To solve these equations and find the values of A and G, we can substitute the value of A from the first equation into the second equation.
(4x - 18) + G = 180
Simplifying the equation:
4x + G = 198
To solve for G, we can isolate G by subtracting 4x from both sides:
G = 198 - 4x
Now we have the measures of angles A and G in terms of x. To find the specific values of A and G, we need more information about the value of x.