Identify the properties of OQR.

May 5, 2026Mathematics

ScanSolve AI Answer

May 5, 2026

Answer

$OQ = OR$ , which means $\triangle OQR$ is an isosceles triangle

Question 4:

Step 1: Identify the properties of $\triangle OQR$ . O is the center of the circle, so OQ and OR are radii. Therefore, $OQ = OR$ , which means $\triangle OQR$ is an isosceles triangle. In an isosceles triangle, the base angles are equal: $\angle OQR = \angle ORQ$ . From the diagram, $\angle QOR = x$ and $\angle ORQ = y$ . The problem states "If TQ = TR and $x = 120^\circ$ ". Based on the diagram, $x$ refers to the central angle $\angle QOR$ .

Step 2: Calculate the value of $y$ . The sum of angles in $\triangle

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Quick Answer

Question 4: Step 1: Identify the properties of OQR.
O is the center of the circle, so OQ and OR are radii.
Therefore, OQ = OR, which means OQR is an isosceles triangle.
In an isosceles triangle, the base angles are equal: OQR = ORQ.

Asked on May 5, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on May 5, 2026

Question 4: Step 1: Identify the properties of OQR. O is the center of the circle, so OQ and OR are radii. Therefore, OQ = OR, which means OQR is an isosceles triangle. In an isosceles triangle, the base angles are equal: OQR = ORQ. From the diagram, QOR = x and ORQ = y. The problem states "If TQ = TR and x = 120^". Based on the diagram, x refers to the central angle QOR. Step 2: Calculate the value of y. The sum of angles in $