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  • 23-11-2021
  • Mathematics
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[GEOMETRY] I now know that x=96 and y=42. But why is this? Is there an easier a to think about questions like this?
Please refer to the photo.

GEOMETRY I now know that x96 and y42 But why is this Is there an easier a to think about questions like this Please refer to the photo class=

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Paounn
Paounn Paounn
  • 23-11-2021

Answer:

Triangle is isosceles, so the angles opposed to equal sides are equal, so you can write down a condition, in this case y=42 (the two equal angles are marked with the line). x is found by difference, since the internal angles sum to 180, and it's the solution to x + 42 + 42 = 180, so 96.

Most of these kind of problems are solved with this system: identify if there are equal angles (ie, they're part of an isosceles triangle, or if they are opposite by a vertex) and write equations based on them

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