Answer:
The answer to your question is x = 122°
Step-by-step explanation:
Data
∠1 = 76°
∠2 = 72°
∠x = ?
∠4 = ?
Process
1.- Calculate the value of ∠4
Angle and the angle next to it are supplementary angles.
∠4 + 90° = 180°
∠4 = 180° - 90°
∠4 = 90°
2.- Calculate the value of x°
The sum of the internal angles in a quadrilateral equals 360°
∠1 + ∠2 + ∠x + ∠4 = 360°
∠x = 360 - ∠1 - ∠2 - ∠4
∠x = 360 - 76 - 72 - 90
∠x = 122°
