Question

10.

Answer 1

Answer:

Part 1) The value of y is $y=0.8$  

Part 2) The value of z is $z=0.9$

Part 3) The value of x is $x=0.5$

Step-by-step explanation:

step 1

Find the value of y

we know that

$(\frac{225y}{2})\°=90\°$ ----> given problem (is a right angle)

$y=90(2)/225$

$y=0.8$

step 2

Find the value of z

we know that

$(50z+13)\°=(80z-14)\°$ ----> by vertical angles

Solve for z

$80z-50z=13+14$

$30z=27$

$z=27/30$

$z=0.9$

step 3

Find the value of x

we know that

$(44x+125y)\°+(80z-14)\°=180\°$ ----> by supplementary angles (linear pair)

Substitute the value of y and the value of z and solve for x

$(44x+125(0.8))\°+(80(0.9)-14)\°=180\°$

$(44x+100)\°+(72-14)\°=180\°$

$44x+158=180$

$44x=180-158$

$44x=22$

$x=0.5$