Question

If the measure of angle 4 is (11 x) degrees and angle 3 is (4 x) degrees, what is the measure of angle 3 in degrees?

3 lines intersect to form 6 angles. From top left, clockwise, the angles are 1, 2 (90 degrees), 3, 4, 5, 6.
6 degrees
24 degrees
66 degrees
90 degrees

Answer 1

Label the three distinct angle measures A = angle1 = angle4, B = angle2 = angle5, C = angle3 = angle6.
Then A + B + C = 180°. Given B = 90°, A = 11x, C = 4x, so 11x + 90 + 4x = 180 → 15x = 90 → x = 6.
Thus angle 3 = 4x = 24°.