In a circle with center O, RS is a diameter. RW is tangent to the circle at V. If SRV = 50^, find WRS?

May 13, 2026Mathematics

ScanSolve AI Answer

May 13, 2026

Answer

$\angle RVS = 90^\circ$

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Here's a step-by-step solution for the geometry problem:

Given Information:

RS is a diameter of the circle with center O.
The line segment RW is tangent to the circle at point V.
$\hat{R_1} = \angle SRV = 50^\circ$ .

1.2.1 Calculate the size of $\hat{WRS}$

Step 1: Identify the angle in a semicircle. Since RS is a diameter, the angle subtended by the diameter at any point on the circumference is $90^\circ$ . Therefore, $\angle RVS = 90^\circ$ .

Step 2: Calculate $\angle RSV

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Quick Answer

Welcome back WELZIE — missed you this week. Here's a step-by-step solution for the geometry problem: Given Information: RS is a diameter of the circle with center O.

Asked on May 13, 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 13, 2026

Welcome back WELZIE — missed you this week. Here's a step-by-step solution for the geometry problem: Given Information: RS is a diameter of the circle with center O. The line segment RW is tangent to the circle at point V. R_1 = SRV = 50^. 1.2.1 Calculate the size of WRS Step 1: Identify the angle in a semicircle. Since RS is a diameter, the angle subtended by the diameter at any point on the circumference is 90^. Therefore, RVS = 90^. Step 2: Calculate $ RSV