To find the angle \( d \) in the figure you've described, we can use the properties of a triangle.
In any triangle, the sum of the interior angles is always \( 180^\circ \). Given the angles of your triangle:
- One angle is \( 50^\circ \)
- Another angle is \( 70^\circ \)
Let's denote the third angle (the one with \( c \)) as \( c \). We can set up the equation:
\[ 50^\circ + 70^\circ + c = 180^\circ \]
Calculating this gives:
\[ 120^\circ + c = 180^\circ \]
Subtracting \( 120^\circ \) from both sides:
\[ c = 180^\circ - 120^\circ = 60^\circ \]
Now, if the triangle is inside the figure and \( d \) is an exterior angle, then the exterior angle \( d \) is equal to the sum of the two opposite interior angles (which are \( 50^\circ \) and \( 70^\circ \)).
Thus,
\[ d = 50^\circ + 70^\circ = 120^\circ \]
So \( d \) is \( 120^\circ \).