Question

Og

30/0 Marks
U
***
589
ody
The diagram shows triangle PQR.
65°
P
43
PSR is a straight line.
size of angle PQS : size of angle SQR = 3:1
S
R
+
Work out the size of angle PSQ.
Total marks: 4
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Answer 1

PSQ is 61 degrees

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!