Final answer:
Since triangle QRS is isosceles (QR = SQ), and Angle ZQ = 114°, the measure of Angle ZS will also be 114° because it's a base angle in the isosceles triangle.
Step-by-step explanation:
The subject of this question is Geometry, specifically it deals with angles and triangles. We know that triangle QRS is isosceles (since QR = SQ), and the given is that Angle ZQ = 114°. In an isosceles triangle, the base angles are equal. So, the measure of Angle ZS will also be 114° because it's a base angle opposite to side QR which equals to SQ (making it an isosceles triangle).
An important point to mention to clarify this explanation further: The sum of all angles in a triangle is always 180°. If you know the measure of two angles, you can always find the third by subtracting the sum of the two known angles from 180°.
Learn more about Triangle Angles