Question 6:
In Diagram below, PQRST is a straight line. Find the value of x.
![](http://pt3mathematics.blog.onlinetuition.com.my/wp-content/uploads/sites/6/2017/12/Picture93.png)
Solution:
Interior angle of R=(180o−76o)÷2=52o∠x=exterior angle of R (corresponding angles)Hence, x=76o+52o=128o
In Diagram below, PQRST is a straight line. Find the value of x.
![](http://pt3mathematics.blog.onlinetuition.com.my/wp-content/uploads/sites/6/2017/12/Picture93.png)
Solution:
Interior angle of R=(180o−76o)÷2=52o∠x=exterior angle of R (corresponding angles)Hence, x=76o+52o=128o
Question 7:
In Diagram below, find the value of y.
![](http://pt3mathematics.blog.onlinetuition.com.my/wp-content/uploads/sites/6/2017/12/Picture94-211x300.png)
Solution:
![](http://pt3mathematics.blog.onlinetuition.com.my/wp-content/uploads/sites/6/2017/12/Picture95.png)
∠ABC=∠BCD =108o (alternate angle)yo+130o+108o=360o yo=360o−238o yo=122o
In Diagram below, find the value of y.
![](http://pt3mathematics.blog.onlinetuition.com.my/wp-content/uploads/sites/6/2017/12/Picture94-211x300.png)
Solution:
![](http://pt3mathematics.blog.onlinetuition.com.my/wp-content/uploads/sites/6/2017/12/Picture95.png)
∠ABC=∠BCD =108o (alternate angle)yo+130o+108o=360o yo=360o−238o yo=122o
Question 8:
In Diagram below, PSR and QST are straight lines.
Find the value of x.
Solution:
∠UST+∠STV=180o∠UST=180o−116o=64o∠PST=∠QSRxo+∠UST=135oxo+∠UST=135oxo=71ox=71
In Diagram below, PSR and QST are straight lines.
![](http://pt3mathematics.blog.onlinetuition.com.my/wp-content/uploads/sites/6/2017/12/Picture96.png)
Solution:
∠UST+∠STV=180o∠UST=180o−116o=64o∠PST=∠QSRxo+∠UST=135oxo+∠UST=135oxo=71ox=71
Question 9:
In Diagram below, PWV is a straight line.
(a) Which line is perpendicular to line PWV?
(b) State the value of ∠ RWU.
Solution:
(a) SW
(b) ∠ RWU = 13o + 29o + 20o = 62o
In Diagram below, PWV is a straight line.
![](http://pt3mathematics.blog.onlinetuition.com.my/wp-content/uploads/sites/6/2018/07/Picture136.png)
(b) State the value of ∠ RWU.
Solution:
(a) SW
(b) ∠ RWU = 13o + 29o + 20o = 62o
Question 10:
In Diagram below, UVW is a straight line.
![](http://pt3mathematics.blog.onlinetuition.com.my/wp-content/uploads/sites/6/2018/07/Picture137-1.png)
(a) Which line is parallel to line TU?
(b) State the value of ∠ QVS.
Solution:
(a) QV
(b) ∠ QVS = 8o + 18o = 26o
In Diagram below, UVW is a straight line.
![](http://pt3mathematics.blog.onlinetuition.com.my/wp-content/uploads/sites/6/2018/07/Picture137-1.png)
(a) Which line is parallel to line TU?
(b) State the value of ∠ QVS.
Solution:
(a) QV
(b) ∠ QVS = 8o + 18o = 26o