Question

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

Answer 1

Answer:

$B =102$

$Y = 32$

Step-by-step 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:

$Y = 180 - X - Z$

$Y = 180 - 80 - 68$

$Y = 32$