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The diagram shows a circle with center \( S \), and it appears that we have a quadrilateral inscribed in the circle, labeled \( AHMP \). The given angle \( \angle HAM \) is \( 125^\circ \). We are likely required to find the measure of angle \( \angle MXP \) based on the information provided.

Since \( AHMP \) is a cyclic quadrilateral (a quadrilateral inscribed in a circle), we can use the properties of cyclic quadrilaterals:

1. Opposite angles of a cyclic quadrilateral sum to \( 180^\circ \).

Given:
- \( \angle HAM = 125^\circ \)
- Therefore, the opposite angle \( \angle HPM \) will be:
  \[
  \angle HPM = 180^\circ - 125^\circ = 55^\circ
  \]

If we assume \( \angle MXP \) is related by either being vertically opposite or directly calculated from adjacent known angles, we could proceed further. However, if the problem involves finding \( \angle MXP \), it would likely be linked by either triangle properties or angle relationships within the cyclic quadrilateral.

Could you confirm if the task is to find \( \angle MXP \) specifically, or is there another angle or value needed?

In the given diagram of a circle with center S, the angle ∠HAM is 125°. Find the measure of angle ∠MXP.

Learn how to find the measure of angle ∠MXP in a cyclic quadrilateral inscribed in a circle, given that ∠HAM = 125°. This solution explains the properties of cyclic quadrilaterals and angle relationships in circles, ideal for students in Grades 9-10.

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