Find the missing angles?

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2 Answers
Oct 31, 2017

y=21 and x=8

Explanation:

Basically the line AB is a straight line. And straight lines are always 180 degrees. And also, the angle EOG is given as 90 degrees which is denoted by the little square thingo they always give. So firstly sum all that makes up angle EOG to find y. ie:
27+3y=90
3y=90-27
y=63/3
therefore y=21

Now we can solve for x. Because we have y, we know the sum of everything on the straight line should equal 180. ie:
x+27+3y+8x+18=180
We already know 27+3y=90
so, we collect like terms on the x, leaving us with:
9x+90+18=180
9x+108=180
9x=180-108
x=72/9
and hence, x=8
Hope this helped :)

Oct 31, 2017

x=8^@" and "y=21^@

Explanation:

"the angle between GO and OE is a right angle"

rArr27+3y=90^@

rArr3y=63^@rArry=21^@

"AB is a straight angle "=180^@

rArrx+90+8x+18=180

rArr9x+108^@=180^@

rArr9x=72^@rArrx=72/9=8^@