line AB is parallel to line CD, the measurement of angle A=2x-25, and the measurement of angle C=x+5. find the value of x. show work and explain your reasoning.
m<A congruent to m<C. 2x-25=x+5, 2x=x+30, x=30, 2(30)-25=35 and (30)+5=35
m<A congruent to m<C. 2x-25=x+5, 2x=x+30, x=30. i forgot what the rule is though sorry
M<A=M<C. 2X-25=X+5. X=30
To find the value of x, we need to use the fact that line AB is parallel to line CD. When two lines are parallel, the corresponding angles are congruent. In this case, angle A corresponds to angle C. Therefore, we can set up an equation:
2x - 25 = x + 5
Now, let's solve for x step by step:
1. Subtract x from both sides of the equation to isolate the variable on one side:
2x - x - 25 = x - x + 5
x - 25 = 5
2. Add 25 to both sides of the equation to get rid of the -25 term:
x - 25 + 25 = 5 + 25
x = 30
Hence, the value of x is 30.