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Chapter 10: Q10. (page 384)

Construct an angle with the indicated measure.

135°.

Short Answer

Expert verified

∠AOF=135°

Step by step solution

01

Step 1. Given information.   

An angle 135°.

02

Step 2. Concept used.

Draw by using compass.

03

Step 3. Construction.

Step 1: Take any rayOA:

Step 2: With Oas centre and any radius, draw an arc cutting OAat BandB':

Step 3: With Bas centre and the same radius, draw an arc cutting the first arc atC:

Step 4: With Cas centre and the same radius, draw an arc cutting the first arc again atD:

Step 5: With Cand Das centre and radius of more than half of CD, draw two arcs cutting each other atΕ:

Step 6: JoinOΕ:

Step 7: With B'and Εas centers, draw two arcs cutting each other atF:

Step 8: Join OF:

∠AOF=135°

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Most popular questions from this chapter

Describe how you would construct each of the following:

The altitude of ΔABC that contain vertexB.

On your paper draw figures roughly like those shown. Use them in constructing the figures described in Exercise 17-24.

A square with diagonals of length b2

Refer to the diagram in which the medians of a triangle are shown.

If PB=1.9,then AB=?,AP=? .

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

These exploratory exercises can be done using a computer with a program that draws and measures geometric figures.

1. Draw any ▵ABC.Draw the bisectors of the angles of the triangle. They should intersect in one point. Draw a perpendicular segment from this point to each of the sides. Measure the length of each perpendicular segment. What do you notice?

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