Find the measure of the angle indicated by the ?

50 degrees.

Step-by-step explanation:

The sum of the interior angles of a triangle is 180 degrees. Then, you can find the missing angle "x" of the larger triangle (Observe the figure attached):

We know that:

Then, "y" you need to substitute values and solve for "y":

Then the angle ? is:

ANSWER

?=50°

EXPLANATION

From the diagram,

x+45+53=180

x+98=180

x=180-98

x=82°

Using angles on a straight line property,

x+68+y=180

82+68+y=180

150+y=180

y=180-150

y=30°

Using the sum of interior angles of the triangle,

?+y+100=180

?+30+100=180

?+130=180

?=180-130

?=50°