Respuesta :

Angle 4 + 60 + 61 = 180

Angle 4 = 180 - 121

Angle 4 = 59

The measure of the angle (∠4) is equal to 59°.

Angles

Some angles are classified according to your respective sum. For example:

Complementary  angles are angles whose sum is equal to 90°.

Supplementary angles are angles whose sum is equal to 180°.

From the  image given, it is possible to see that the angles: ∠4, 60° and 61° are supplementary angles. Rename ∠4 to x, thus you can write.

                                             x+60+61=180

                                              x+121=180

                                              x=180-121

                                              x=59°

Therefore, the angle ∠4 is equal to 59°.

Read more about supplementary angles here:

https://brainly.com/question/12919120