Question

Find the value of each variable

Answer 1

x = 58°

y = 74°

z = 106°

w = 42°

Explanation:

Finding the value of unknown variables:

x + 32° = 90°

x = 90 - 32

`\sf \boxed{\bf x = 58^\circ}`

x + y + 48 = 180 {Angle sum property of triangle}

58 + y + 48 = 180

y + 106 = 180

y = 180 - 106

`\sf \boxed{\bf y = 74\°}`

y + z = 180 {Linear pair}

74 + z = 180

z = 180 - 74

`\sf \boxed{\bf z = 106\°}`

32 +z + w = 180 {Angle sum property of triangle}

32 + 106 +w = 180

138 + w = 180

w = 180 - 138

`\sf \boxed{\bf w = 42\°}`