Question

AACB = ADCE

ZA = 3x-10, ZC = 45°, ZD = 2x+10

A) 35°
B) 40°
C) 45°
D) 50°

Answer 1

To find the angle, we set ZA equal to ZC and solve for x. The value of x is then used to determine the angle ZC. The answer is option C) 45°.

Step-by-step explanation:

Given that AACB = ADCE and ZA = 3x - 10, ZC = 45°, and ZD = 2x + 10, we need to find the value of x in order to determine the angle.

First, we set ZA equal to ZC since they are alternate interior angles. This gives us the equation 3x - 10 = 45°.

Solving for x, we can add 10 to both sides to isolate the variable: 3x = 55°.

Finally, we divide both sides by 3 to find that x = 55°/3. Plugging this value back into ZC, we get ZC = 45°.

Therefore, the answer is option C) 45°.