In the diagram, \(\bar{PF}\), \(\bar{QT}\), \(\bar{RG}\) intersect at S and PG||RG. If &lt; SPQ =...

In the diagram, \(\bar{PF}\), \(\bar{QT}\), \(\bar{RG}\) intersect at S and PG||RG. If < SPQ =...

WAEC 2016

In the diagram, \(\bar{PF}\), \(\bar{QT}\), \(\bar{RG}\) intersect at S and PG||RG. If < SPQ = 113º and < RSt = 22º, find < PSQ

A. 22^o
B. 45^o
C. 67^o
D. 89^o

WAEC and NECO CBT App for Mobile Devices - Candidates, Schools, Centres, Resellers - 100% Offline -Download Now

Your School's Whatsapp Group - Join Us now

WAEC and NECO CBT Software for Computers and Laptops - Candidates, Schools, Centres, Resellers - 100% Offline -Download Now

Correct Answer: Option B

Explanation

In In the diagram given, \(\alpha\) = 22º (vertically opp. angles), \(\alpha\) = \(\beta\) (alternate angles)

< PSQ + 113º + \(\beta\) = 180º (sum of angles of a \(\Delta\))

< PSQ + 113º + 22º = 180º

< PSQ = 180º - (113 + 22)º

45º

Previous Next

Go back to Maths classroom

Report an Error Ask A Question Download App

Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts

Contributions ({{ comment_count }})

Please wait...

{{ settings.no_comment_msg ? settings.no_comment_msg : 'There are no comments' }}

Quick Questions

How can I get better at wave length 😭? Answer this

1 Answers · Physics · 3 days ago
What can i study with 155 score in science course? Answer this

3 Answers · Biology · 3 days ago
Does WAEC give Calculator to student for there exam? Answer this

3 Answers · Mathematics · 4 days ago

In the diagram, \(\bar{PF}\), \(\bar{QT}\), \(\bar{RG}\) intersect at S and PG||RG. If < SPQ =...

Correct Answer: Option B

Explanation

Contributions ({{ comment_count }})

Please wait...

Modal title

Report

Block User

{{ feedback_modal_data.title }}

Quick Questions

Post your Contribution

Sign In