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

GEOMETRY PLEASE HELP ON # 3 and 4 THANK YOU!!-example-1
GEOMETRY PLEASE HELP ON # 3 and 4 THANK YOU!!-example-1
GEOMETRY PLEASE HELP ON # 3 and 4 THANK YOU!!-example-2
User SageJustus
by
8.0k points

2 Answers

4 votes

Explanation:

in 4th

x+2=3x-40

42 = 2x

21 = x

but i don't get the 3rd one

User Eric Andrews
by
7.9k points
4 votes

Answer:

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.

User Kanchu
by
7.7k points

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