Final answer:
Which angle is theta or its position in the triangle, it's not possible to give an exact measure of angle theta in the isosceles triangle with side lengths 6.8 and 9.6.
Step-by-step explanation:
To calculate the size of angle theta in an isosceles triangle with two given side lengths, we can use trigonometric relationships. Since the question only provides two side lengths of 6.8 and 9.6 but does not specify what angle theta refers to or where it's situated in the triangle, we cannot provide a specific answer.
In an isosceles triangle, the base angles are congruent, and the sum of all interior angles equals 180 degrees. If angle theta is one of these base angles, you could use the Law of Cosines with the given sides to find the cosine of theta and then use an inverse trigonometric function to find the angle's measure.
Your complete question is: Calculate the size of angle θ in the isosceles triangle below. Give your answer in degrees to 1 d.p.