Question

Given angle a is congruent to angle d and angle b is congruent to angle e fidn angle c is equal to x and angle f= 2x-30, find angle c.

Answer 1

To find angle C, set up an equation using the given information and solve for x. Angle C is equal to the value of x obtained.

Step-by-step explanation:

To find angle C, we need to use the facts that angle A is congruent to angle D and angle B is congruent to angle E. From the given information, we can conclude that angle A is congruent to angle D, and angle B is congruent to angle E. Since angle F is equal to 2x - 30 and angle D is congruent to angle A, we have:

2x - 30 = 180 - (x + 2x - 30)

2x - 30 = 180 - 3x + 30

2x - 30 = 210 - 3x

5x = 240

x = 48

Therefore, angle C is equal to x, which is 48 degrees.