Answer: x = 78°
Step-by-step explanation:
The attached photo gives detailed illustration of the given diagram.
Looking at the diagram in the attached photo,
Line m is parallel to line n. It means that ∠ y and ∠ 23 are alternate angles. Since alternate angles are equal, then ∠ y = 23 degrees.
∠w + 79 = 180° (sum of the angles on a straight line is 180 degrees)
∠ = 180 - 79 = 101°
The sum of the angles in a triangle is 180°. Therefore,
w° + z° + 50° = 180°
z° = 180 - 50 - 101
z = 29°
y° + x° + 50° + z° = 180°
Therefore
23 + x° + 50 + 29 = 180°
x° + 102 = 180
x° = 180 - 102
x = 78°
