Inactive Tutor answered • 08/08/22
Tutor
New to Wyzant
2 Answers By Expert Tutors
Inactive Tutor answered • 08/08/22
Tutor
New to Wyzant
x=145 degrees
R+Q+T = 34+65+46 = 145
largest triangle has 3 angles summing to 180
1 angle is TRQ, another is RQT, 3rd angle is RTQ+180-x
TRQ=R, RQT=Q, RTQ=T
TRQ + RQT + RTQ + 180-x = 180
R+Q+T + 180-x = 180
subtract 180 from both sides
R+Q+T =x
34+65+46 = 145 = x
x =145 degrees
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