Question

Find the value of x.

Answer 1

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°