The measures of XY, YZ ans XZ from the figure is 29, 29 and 48 respectively
Similar angles and sides
1) The sum of angle on a straight line is 180 degrees, hence;
<J = 180 - 125
<J = 55 degrees
<J = <L = 55 degrees
Since <J + <K + <L = 180
<K = 180 - 2(55)
<K = 25 deegrees
2) Since the triangle is isosceles, then;
9x + 4 + 2(3x-2) = 180
9x + 4 + 6x - 4 = 180
15x = 180
x = 12
<R = 9(12) + 4
<R = 112degrees
<S = <T = 180 - 112/2
<S = <T = 34 degrees
4) 3x + 4 = 10
3x = 6
x = 2
AC = BC = 10
AB = x + 3
AB = 2 + 3 = 5
5) 4x + 1 = 29
4x = 28
x = 7
XY = YZ = 29
XZ = 7x - 1
XZ = 7(7) - 1
XZ = 48
Hence the measure of XY, YZ ans XZ from the figure is 29, 29 and 48 respectively
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