In order to understand this question, one needs to understand the construction first. After creating POQ, Meg picks a radius r and makes a circle around O. There are 2 points where the circle meets the triangle. Then, she meets another radius and she makes a circle of radius s around each of the points on the triangle. The two circles cross at one point, as can be seen in the figure. Let's name the first two points A and B and let's name the last point S. We have that for the triangles OAS, OBS we have OA=OB=r, BS=AS=s and that OS is common to both. Thus by the S-S-S triangle equality theorem, the triangles are equal. Hence for the angles AOS=BOS, namely POS=QOS. Since POQ=POS+QOS, we have that POS has to be half of POQ. The only consistent choice is the third one, POS=20 degrees and POQ=40 degrees.
Answer: option A
Step-by-step explanation:
Create another line that intersects the segment
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Answer:
Robert is 10 and his dad is 40 years old
Step-by-step explanation:
We have (4x+5)=3(x+5)
4x+5=3x+15
x=10.
Roberts is 10 years old and his father is 40 years old.
X=11. Bisects means the angles on both sides of the line are equal, so 4x-16=2x+16 then solve for x
