Answer:
B. 32°
Step-by-step explanation:
Finding ∠S and ∠R
- ∠S = 58°
- ∠S = ∠R (Isoceles trapezoid)
- ⇒ ∠R = 58°
Similarly, ∠P = ∠Q (same reason as above)
Applying the Angle Sum Property of Quadrilaterals,
- ∠P + ∠Q + ∠R + ∠S = 360°
- 2∠P + 2∠S = 360°
- ∠P + ∠S = 180°
- ∠P = 180° - 58°
- ∠P = 122° = ∠Q
Finding the missing angles of the triangle
- Left angle : ∠x + 96° = 122°
- ∠x = 26°
Applying the Angle Sum Property of Triangles,
- ∠x + ∠Q + ∠1 = 180°
- 26° + 122° + ∠1 = 180°
- ∠1 = 180° - 148°
- ∠1 = 32°
