Calculate the angles WRS and WRT.

May 13, 2026Mathematics

ScanSolve AI Answer

May 13, 2026

Answer

$\text{*}90^\circ\text{*}$

Here are the calculations for the angles:

1.2.1 Calculate WRS Step 1: Identify the relationship between the tangent and diameter. RW is a tangent to the circle at R, and RS is the diameter. The angle between a tangent and a diameter at the point of contact is $90^\circ$ . $\angle WRS = 90^\circ$ The size of WRS is $\boxed{*90^\circ*}$

1.2.2 Calculate W Step 1: Identify angles using the tangent-chord theorem and angle in a semicircle. RW is a tangent and RT is a chord, so $\angle WRT = \angle RST$ (tangent-chord theorem).

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1.2.1 Calculate WRS Step 1: Identify the relationship between the tangent and diameter.

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

Here are the calculations for the angles: 1.2.1 Calculate WRS Step 1: Identify the relationship between the tangent and diameter. RW is a tangent to the circle at R, and RS is the diameter. The angle between a tangent and a diameter at the point of contact is 90^. WRS = 90^ The size of WRS is 90^ 1.2.2 Calculate W Step 1: Identify angles using the tangent-chord theorem and angle in a semicircle. RW is a tangent and RT is a chord, so WRT = RST (tangent-chord theorem).