Question

GEOMETRY PLEASE HELP ON # 3 and 4 THANK YOU!!

Answer 1

Explanation:

in 4th

x+2=3x-40

42 = 2x

21 = x

but i don't get the 3rd one

Answer 2

3).
`x=105`

4).
`x=21`

Explanation:

We have been given two circles, we are asked to find the value of x for each circle.

3) We know that measure of inscribed angle is half the measure of intercepted arc. Since the measure of angle ACB is x degrees, so measure of arc AB will be 2x degrees.

The measure of arc ACB is
`(x+45)^(\circ)`. We know that circumference of circle is 360 degrees. We can set an equation as:

`x+45+2x=360`

`3x+45=360`

`3x+45-45=360-45`

`3x=315`

`(3x)/(3)=(315)/(3)`

`x=105`

Therefore, the value of x is 105.

4) We know that the measure of two inscribed angles corresponding to same arc is equal.

Since angle WXZ and WYZ corresponds to arc WZ, so we can set an equation as:

`3x-40=x+2`

`3x-x-40=x-x+2`

`2x-40=2`

`2x-40+40=2+40`

`2x=42`

`(2x)/(2)=(42)/(2)`

`x=21`

Therefore, value of x is 21.