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(2) If \( \mathrm{m}(\angle \mathrm{B})=80^{\circ} \), then \( \mathrm{m}( \) refle \( x \angle B)=\ldots \) \( \begin{array}{llll}\text { (a) } 10^{\circ} & \text { (b) } 100^{\circ} & \text { (c) } 80^{\circ} & \text { (d) } 280^{\circ}\end{array} \)

Ask by Boyd Ayala. in Egypt
Jan 10,2025

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The reflex angle at vertex \( B \) is \( 280^\circ \).

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The Deep Dive

When you reflect an angle across a line, the measure of the angle doesn't change; instead, it is the direction or position of the angle that changes. So, if \( m(\angle B) = 80^{\circ} \), then the angle after reflection will still be \( 80^{\circ} \). Thus, \( m(\text{refle } x \angle B) = 80^{\circ} \), which corresponds to option (c). Now, did you know that reflecting angles plays a crucial part in design and architecture? Architects often use reflections, like in designing buildings or public spaces, to create aesthetically pleasing or functional layouts. It’s not just about the angle but how it interacts with light and space!

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