Question

I'll give brainliest answer

Answer 1

Answer:

Part 1) $m\angle x=105^o$

Part 2) $m\angle y=75^o$

Part 3) $m\angle z=86^o$

part 4) $m\angle w=94^o$

Step-by-step explanation:

step 1

Find the value of x

we know that

$m\angle x+75^o=180^o$ ----> by supplementary angles (form a linear pair)

$m\angle x=180^o-75^o$

$m\angle x=105^o$

step 2

Find the value of y

we know that

$m\angle y=75^o$ ----> by alternate  interior angles

step 3

Find the value of z

we know that

$m\angle z=86^o$ ----> by vertical angles

step 4

Find the value of w

we know that

$m\angle w+m\angle z=180^o$ ----> by consecutive interior angles

we have

$m\angle z=86^o$

$m\angle w+86^o=180^o$

$m\angle w=180^o-86^o$

$m\angle w=94^o$