Answer:The correct answer is A. 70°Step-by-step explanation:1. Let's review the information given to us for solving the question:∠ A = 100°∠ B = 95°∠ C = ?∠ D = ?2. What is the value of ∠ C ?For solving this question and finding the value of ∠ C, we draw a bisector line that starts on angle ∠ A to angle ∠ C, that divides these two angles into two equal parts ( ∠ A₁, ∠ A₂) and (∠ C₁, ∠ C₂) dividing the quadrilateral into two triangles : Δ ABC and Δ ACD.After drawing that bisector line we will know two interior angles of the Δ ABC, this way:∠ A₁ = Original ∠ A ( 100°), divided in two equal angles ( ∠ A₁, ∠ A₂) is 50°∠ B = 95°∠ C₁ = xNow, we can found the value of angle ∠ C₁ (one of the equal parts of angle ∠ C, after drawing the bisector line)The three interior angles in a triangle will always add up to 180°, so we can calculate:∠ A₁ + ∠ B + ∠ C₁ = 180Replacing with the real values:50 + 95 + ∠ C₁ = 180∠ C₁ = 180 - 95 - 50∠ C₁ = 180 - 145∠ C₁ = 35 ⇒ ∠ C₂ = 35 (Two equal parts after drawing the bisector line)So, ∠ C = 70°3. What is the value of ∠ D ?The four interior angles in any quadrilateral will always add up to 360°, so we can calculate:∠ A + ∠ B + ∠ C + ∠ D = 360Replacing with the real values:100 + 95 + 70 + ∠ D = 360∠ D = 360 - 100 - 95 -70∠ D = 95°