I am sure of my answer was correct and unfortunately the material does not provide any solution. So I was wondering if someone can help me please. Thank You

Hi phoenix9801: Since these questions are really easy and you are only looking for answers, I will provide what I found, use these to check your answers. [spoiler]x=60 [/spoiler] Let me know if this helps

Question 1: As AE = BD and C is the midpoint of both AE and BD, AC = BC. Hence, ABC is an isosceles triangle. Hence, angle ABC = angle BAC Now, measure of angle BCE is 120° Hence, measure of angle BCA is (180° - 120°) = 60° Therefore, measure of angle BAC = measure of angle ABC = (180° - 60°)/2 = 60° Hence, x = 60 The correct answer is D.

Question 2: Refer to the above figure. Measure of the angles marked by red = n° = 60° And measure of the sum of the angles marked by blue = (180° - p°) + (180° - q°) + (180° - r°) = 540° - (p° + q° + r°) Now, measure of the sum of the angles of the quadrilateral = Measure of the angles marked by red + Measure of the sum of the angles marked by blue = 360° Hence, [60° + 540° - (p° + q° + r°)] = 360° Hence, (p° + q° + r°) = 60° + 540° - 360° = 600° - 360° = 240° The correct answer is B.

Hence, [120° + 540° - (p° + q° + r°)] = 360° Hence, (p° + q° + r°) = 120° + 540° - 360° = 660° - 360° = 300° I think there was a typo? Since n=60, the angle in red is 60 (not 120). The equation changes accordingly, Hence, [60° + 540° - (p° + q° + r°)] = 360° Hence, (p° + q° + r°) = 60° + 540° - 360° = 600° - 360° = 240° Please correct if I am wrong.