4. In the given figure, TPQ = 111° and TRS = 164º. Find the value of x.
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Answer:
by the linear pair
angle prq + 164 = 180
prq = 16°
similar in angle tpq( inner angle)
by linear pair
tpq = 69°
in triangle pqr
16 +69 + angle pqr = 180
pqr = 180 - 85
pqr = 95°
by linear pair
95° + x = 180
x = 180-95
x = 85°
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