find the lettered angle in each of the following:
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Answer:
In triangle PQR:
PR = QR.... given
Hence, it is an Isosceles Triangle:
Therefore, angle QPR = angle PQR... iscoceles triangle property
Therefore, sum of all angles in triangle PQR
=> 59 + 59 + x = 180... sum of all angles property
=> x = 62°
In triangle PRS:
angle r is exterior to this triangle
Therefore, by Exterior Angle Theorem:
x = 32 + y
=> 62-32 = y
=> y = 30°
Hope this helped.
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x =62 y =30
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