Answer:
166°
Step-by-step explanation:
Let's label our triangle.
We'll name the left one, next to ∠x, ∠A.
The bottom one, next to the 97°, ∠B.
And the top one, ∠C.
We know what angle ∠A is because its a supplementary angle to the 97° one.
180° - 97° = 83°
We know that the triangle is isosceles, so that gives us ∠C as well. 83°
∠A is the last remaining angle.
The sum of the angles to our ΔABC is 180°.
∠A = 180° - ∠B - ∠C
∠A = 180° - 83°- 83°
∠A = 14°
∠x and ∠A are supplementary angles!
∠x = 180° - ∠A
∠x = 180° - 14°
∠x = 166°
