Answer:
PSQ is 61 degrees
Step-by-step explanation:
We've got small and big triangle, so, you start with the big one, to find angle PQR:
65 +43 = 108
180 - 108 = 72
(angles in triangle adds to 180)
PQR is 72
3:1
(3+1=4)
72/4 =18
SQR is 18
PQS is 54
(18x3=54)
Small triangle next:
65+54=119
180-119=61
(angles in triangle adds to 180)
PSQ is 61
Check:
180-61 =119
(angles on straight lines)
So, 180 - (43+119) should give us 18 degrees & it does.
(angles in triangle adds to 180)
Hope this helps!
