Final answer:
To find the value of x and angle E, we can evaluate each option. Only option D satisfies the given conditions, with x = 30 and angle E = 70°. Hence the correct answer is option D
Step-by-step explanation:
To find the value of x and the value of angle E, we need to determine which option satisfies the given conditions. Option A states that x = 20 and angle E = 75°. We can use this information to verify if it is correct. If we substitute x = 20, we can compute the value of angle E using the formula E = B - x. Given that B = 100°, the equation becomes E = 100° - 20° = 80°. Therefore, option A is incorrect.
Next, let's check option B. If x = 35, we can calculate angle E using the same formula. Substituting the values, E = 100° - 35° = 65°. This means that option B is also incorrect.
Now, let's evaluate option C. If x = 25, we can find angle E using the formula E = B - x. Substituting the values, E = 75° - 25° = 50°. Hence, option C is incorrect.
Finally, let's consider option D. If we substitute x = 30, we can find angle E using the formula E = B - x. Substituting the values, E = 100° - 30° = 70°. Thus, option D is correct.
Therefore, the value of x is 30 and the value of angle E is 70°.