Question 6:
In Diagram below, PQRST is a straight line. Find the value of x.




Solution:
Interior angle of  R = ( 180 o 76 o ) ÷ 2 = 52 o x = exterior angle of  R   ( corresponding angles ) Hence,  x = 76 o + 52 o = 128 o


Question 7:
In Diagram below, find the value of y.



Solution:


A B C = B C D            = 108 o  (alternate angle) y o + 130 o + 108 o = 360 o                       y o = 360 o 238 o                       y o = 122 o


Question 8:
In Diagram below, PSR and QST are straight lines.

Find the value of x.

Solution:
UST+STV= 180 o UST= 180 o 116 o = 64 o PST=QSR x o +UST= 135 o x o +UST= 135 o x o = 71 o x=71