Answer:
question 8........ x = 51 degrees
question 9...... x = 91 degrees
question 10 ........ x = 20 degrees
question 11...... x = 35 degrees
Step-by-step explanation:
<h2><u>Question 8</u></h2>
<em>note : a straight line has angle of 180 degrees</em>
GCE is a straight line hence is 180 degrees
firstly get the angle ECD
which is :
180 - 86 = 94
ECD = 94 degrees
total angle of a triangle is 180 degrees
to get DEC
94 + 35 + x = 180
make x the subject for equation
x = 180 - 35 - 94
<u>x = 51 degrees</u>
<h2 /><h2><u>Question 9</u></h2>
<em>note : a straight line has angle of 180 degrees</em>
YUW is a straight line hence is 180 degrees
total angle of a triangle is 180 degrees
to find the missing angle ( WUY) ,create an equation
we shall say that angle WUY is <u>Y</u>
29 + 62 +Y = 180
make x the subject of the equation
Y = 180 - 62 -29
Y ( angle WUY) = 89 degrees
now to get the missing angle (?) which will be named as x:
since the straight line is 180 degrees
we say 180 - 89 = 91
<u>x = 91 degrees </u>
<h2><u>Question 10 </u></h2>
<em>note : a straight line has angle of 180 degrees</em>
SUZ is a straight line hence is 180 degrees
to get angle SUT is :
180 -80 = 100
angle SUT = 100 degrees
now to get the missing angle (?) we shall name it x
total angle of a triangle is 180 degrees
60 + 100 + x = 180
now make x the subject of formula
x = 180 - 100 - 60
<u>x = 20</u>
<h2><u>Question 11</u></h2>
notice that the angles which are shaped like an X
<u><em>opposite angles are the same </em></u>
and since there is a straight line of 180 degrees
180 - 128 = 52 degrees
hence to get the missing angle (x) you have to recall that the total angle of a triangle is 180
hence to get the angle is :
x + 93 + 52 = 180
x = 180 - 52 - 93
<u>x = 35</u>