Type the correct answer in each box, 1020
P
1150
Parallel lines p and q are cut by two non-parallel lines, mand n, as shown in the figure,
►9
m
n
The value of xis
degrees, and the value of yis
degrees.
Deset
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92

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

the answer would be 0.54