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Chapter 9: Q4. (page 341)

In exercises 2-7 find the measure of the arc.

ABD铃�

Short Answer

Expert verified

a. The measure of an arc ABD铃� is 180.

Step by step solution

01

Step 1. Given information:

The given figure is,

02

Step 2. Concept used:

Following properties are used here,

The arc length of a circle can be calculated with the radius and central angle.

03

Step 3. Applying the concept:

Here, in the figure

鈭�AOD=鈭�AOB+鈭�BOC+鈭�COD=50鈭�+80鈭�+50鈭�=180鈭�

Since

mABD铃�=m鈭�AOD=180

Therefore, the measure of arc ABD is 180.

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Most popular questions from this chapter

The number of odd vertices will tell you whether or not a network can be traced without backtracking. Do you see how? If not, read on.

Tell why it is impossible to walk across the seven bridges of Koenigsberg without crossing any bridge more than once.

Draw a diagram similar to the one shown, but much larger. Carefully draw the perpendicular bisectors of AB炉 and BC炉.

  1. The perpendicular bisect in a point. Where does that point to be?
  2. Write an argument that justifies your answer to part (a).

Discover and prove a theorem about two lines tangent to a circle at the endpoints of a diameter.

TR炉and TS炉are tangents to 鈯�Ofrom T;

m鈭�RTS=36

a.Copy the diagram. Draw RS炉and find m鈭�TSRand m鈭�TRS.

b.Draw radii OS炉and OR炉and find m鈭�ORSand m鈭�OSR.

c.Find m鈭�ROS.

d.Does your result in part csupport one of your conclusions about angles in Classroom Exercise 5?Explain.

In the diagram, which pairs of angles are complementary? Which pairs of angles are supplementary?
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