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Chapter 10: Q14. (page 378)

On your paper, draw two angles roughly like those shown. Then for Exercise 11-14construct an angle having the indicated measure. 180-2y

Short Answer

Expert verified

The figure is,

Step by step solution

01

Step 1. Given information.

The angle to draw is 180-2y.

Angles xand y can be constructed as,

02

Step 2. Concept.

To construct 180-2y, consider the following ways-

Draw a line CE.

Mark the point Bon line CE.

Draw angle yfrom point B.

Place the compass vertex on the angle鈥檚 vertex B. and mark that point as s.

With centre s,draw an arc and mark that point as H on the angle y.

With centre Hand without changing the radius of the compass,

draw another arc and mark that point as G.

Draw a line from Bto where the arcs intersect.

Mark as ABand BD.

03

Step 3. Apply angle sum property.

According to the angle sum property,

鈭�ABE=2y and 鈭�ABC=180-2y

04

Step 4. Construct the figure. 

The figure is,

Therefore, the required construction is 鈭�ABC=180-2y as shown above.

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Most popular questions from this chapter

Draw a figure roughly like one shown, but larger. Do the indicated construction clearly enough so that your method can be understood easily.

The perpendicular to BA鈫� at A.

The construction of the following triangle whose sides are in the ratio 1:2:5.

Draw any obtuse 螖OBT. Use the SSS method to construct a triangle congruent to 螖OBT.

Draw any AB炉.

a. Construct XY炉 so that XY=AB.

b. Using X and Y as centers, and a radius equal to AB, draw arcs that intersect. Label the point of intersection Z.

c. Draw XZ炉 and YZ炉.

d. What kind of triangle is 螖XYZ?

Draw a figure roughly like one shown, but larger. Do the indicated construction clearly enough so that your method can be understood easily.

The parallel lto T.
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