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musiclover10045

Z + Y = a right angle so need to equal 90 degrees:

Find Z & Y:

2b + 6 + 3b -1 = 90

5b +5 = 90

5b = 85

b = 85/5

b = 17

Z = 2(17) +6 = 34+6 = 40 degrees

Y = 3(17) - 1 = 51 - 1 = 50 degrees


Y & W make a straight line so need to equal 180:

W = 180 - 50 = 130 degrees.


Z & X make a straight line so need to equal 180:

X = 180 - 40 = 140 degree.

wegnerkolmp2741o

Answer:

y =50

z = 40

x = 140

w =130

Step-by-step explanation:

<y+ <z = 90  since it is a right angle

2b+6 + 3b-1 = 90

Combine like terms

5b +5 = 90

Subtract 5 from each side

5b+5-5 = 90-5

5b = 85

Divide by 5

5b/5 = 85/5

b = 17

Y = 3b-1

y =3(17) -1

y =51-1

y =50

Now we need to find z

y + z = 90

50 + z = 90

Subtract 50 from each side

50-50 +z = 90-50

z = 40

Now we need to find x

x+ z = 180  straight line

x+40 = 180

Subtract 40 from each side

x+40-40 = 180 -40

x = 140

And finally we will find w

w +y = 180

w+50 = 180

Subtract 50 from each side

w+50-50 =180-50

w =130

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