Question

Help? Thanks!!!!!!!! If possible show work please!

Answer 1

`B =102`

`Y = 32`

Explanation:

Solving (47):

To solve for B, we have:

`B + 50 + 28 = 180` --- sum of angles in a triangle

This gives

`B + 78 = 180`

Collect like terms

`B =- 78 + 180`

`B =102`

Solving (48):

To solve for Y, we have:

`X + Y+ Z = 180` --- sum of angles in a triangle

This gives

`Y = 180 - X - Z`

Where

`W+ X=180` -- angle on a straight line

Solve for X

`X=180 -W`

`X=180 -100 = 80`

So, we have:

`Y = 180 - X - Z`

`Y = 180 - 80 - 68`

`Y = 32`