Sample Angle questions

In the four questiong below you must solve for the missing angles.
Remember to use complementary, supplementary and opposite angles to help you solve for the missing angles. As well recall that the total sum of a shape's angles is based upon the number of triangles that you can divide the shape into (a square is 2 triangles so 180 degrees x 2, a pentagon has 3 triangles etc.)

Question #1

















Question #2




















Question #3

















Answers to the questions.
Question #1 A = 57, B = 33

Question #2 A = 90, B = 45

Question #3 A = 122, B = 118, C = 120 (We know that all six angles must equal 720 degrees, as we can split the hexagon into 4 triangles, and each triangle would have 180 degrees so 180 x 4 = 720 degrees)

Question #4, A = 120 (opposite angles) B = 90 (60 + 30 + 90 = 180)


Question #4