Use the given diagrams to calculate the unknown variables, specifically for Exercise 3, page 217, part a).

April 14, 2026Mathematics

ScanSolve AI Answer

April 14, 2026

Answer

\frac{1}{2} \times \angle POR$$

Here are the calculations for the unknown variables in the given diagrams.

** PAGE 217**

a) Step 1: Identify the relationship between $\angle PQR$ and $\angle POR$ . $\angle PQR$ ( $x$ ) is an angle at the circumference subtended by arc PR. $\angle POR$ ( $55^\circ$ ) is the angle at the center subtended by the same arc PR. Step 2: Apply the theorem that the angle at the center is twice the angle at the circumference. $x = \frac{1}{2} \times \angle POR$ $x = \frac{1}{2} \times 55^\circ$

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Identify the relationship between PQR and POR. PQR (x) is an angle at the circumference subtended by arc PR.

Asked on April 14, 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 April 14, 2026

Here are the calculations for the unknown variables in the given diagrams. EXERCISE 3 PAGE 217 a) Step 1: Identify the relationship between PQR and POR. PQR (x) is an angle at the circumference subtended by arc PR. POR (55^) is the angle at the center subtended by the same arc PR. Step 2: Apply the theorem that the angle at the center is twice the angle at the circumference. x = (1)/(2) × POR x = (1)/(2) × 55^ x = 27.5^