Answer:
The value of the angle will be 105 degrees
Step-by-step explanation:
First, one thing to know is that the angles in a triangle all add up to be 180.
From the triangle on the right, two of the angles are given to us.
We have the 40 degree angle and the 90 degree angle (we know it is 90 because of the red box in the triangle indicates that)
Next, you add up 90 and 40 which gives us 130. (90 + 40 = 130)
Because the sum of all the angles in a triangle is 180, you will subtract 180 from 130. (180 - 130 = 50)
The remaining angle from the triangle from the right is 50.
Now, a rule of angles is that vertically opposite angles are equal to each other.
Because we have found the 50 degree angle, the angle vertically opposite from that will also equal 50.
Now we have two known angles in the triangle from the left.
Because we know one degree is 50 and the other is 25, all we have to do is add those two angles and subtract from 180.
50 + 25 = 75
180 - 75 = 105
And there is our answer for the angle that is marked with a "?" --> 105 degrees
Hope this explnation made sense and good luck!