hello253384
Answered

Welcome to Westonci.ca, where your questions are met with accurate answers from a community of experts and enthusiasts. Join our Q&A platform to get precise answers from experts in diverse fields and enhance your understanding. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

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
MathWatch
Terme & Conditions Privacy Policy
Developed
III

Og 300 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 31 S R Work Out The Size Of Angle PSQ T class=

Sagot :

unicornetfairies

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!

We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.