On the sides of the angle A, equal to 43 degrees, points B and C are marked, and inside the angle point D

On the sides of the angle A, equal to 43 degrees, points B and C are marked, and inside the angle point D, so that the angle ABD = 137 degrees, the angle BDC = 45 degrees. find the ACD angle.

According to the rule of the sum of angles in four gons: the sum of all angles is 360 °.
Based on this, we can find the ACD angle:
So, BAC angle + ABD angle + BDC angle + DCA angle = 360 °.

Substitute the data from the condition and get:
43 ° + 137 ° + 45 ° + ACD angle = 360 °.

Let’s express the angle ACD:

angle ACD = 360 ° – 43 ° – 137 ° – 45 °

Accordingly, the angle ACD = 135 °.

Answer: ACD angle = 135 °.