To find:
In an obtuse isosceles triangle, whose one angle is 30 degrees, find the measures of other two angles.
Solution:
In an obtuse isoceles triangle, one angle is greater than 90 degrees and other two angles are less than 90 degrees. Since it is an isosceles triangle, so the angles that are less than 90 degrees are equal.
In the given triangle, the angles which are equal have measure of 30 degrees. So, there is only one option which contains angle of measure 30 degrees.
Thus, the first option is correct.