Question

What is the measure of ? Four-sided figure divided into four triangles. Triangle on top has angles labeled two, forty-one degrees, and one hundred twelve degrees. Triangle on right has angles labeled forty-four degrees, sixty-six degrees, and three. Triangle on the bottom has angles labeled twenty-nine degrees, four, and one hundred nine degrees. Triangle on the left has angles labeled forty-three degrees, one, and sixty-nine degrees.

Answer 1

The missing angles are the one with labels 1, 2, 3, 4.
180 = 43 + 69 + X
180 = 112 + X
X = 68 (1)

180 = 112 + 41 + Y
180 = 153 + Y
Y = 27 (2)

180 = 44 + 66 + Z
180 = 110 + Z
Z = 70 (3)

180 = 109 + 29 + Z
180 = 138 + Z
Z = 42 (4)