Based on the inscribed angle theorem and the tangent theorem, the angles that must be right angles are: ∠XLS, ∠LEG, ∠LTG, and ∠XLQ.
What is the Inscribed Angle Theorem?
The theorem states that an inscribed angle of a semicircle equals 90°.
What is the Tangent Theorem?
According to the tangent theorem, a tangent is at right angle at the point of tangency with the radius.
Based on these theorems, the angles that must be right angles are:
∠XLS, ∠LEG, ∠LTG, and ∠XLQ.
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