We presume you want the values of the variables shown.
37) In a parallelogram, opposite angles are congruent. That means ...
104° = 2x
... x = 52°
76° = 2w
... w = 38°
The sum of angles of a triangle is 180°, so ...
... w + x + y = 180°
... y = 180° - 38° - 52°
... y = 90°
38) The sum of angles around a circle is 360°.
... c + 2c + 3c + 126° = 360°
... 6c = 360° - 126° = 234°
... c = 234*/6 = 39°
39) PQ ║ BC, so ∠APQ = ∠ABC
∆AQB is isosceles, so ∠A = ∠ABQ
The sum of angles of triangle ABC is 180°, so
∠A + (∠A +28°) +52° = 180°
2∠A = 100° . . . . . . collect terms, subtract 80°
∠A = 50° . . . . . . . . divide by 2
Now, you know all the parts that make up ∠ABC.
∠ABC = ∠A + 28° = 50° +28° = 78°
∠APQ = 78°
