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Chapter 10: Q10. (page 384)

Construct an angle with the indicated measure.

135掳.

Short Answer

Expert verified

鈭�AOF=135掳

Step by step solution

01

Step 1. Given information.   

An angle 135掳.

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 at螘:

Step 6: JoinO螘:

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

Step 8: Join OF:

鈭�AOF=135掳

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Most popular questions from this chapter

Use a ruler and a protractor to draw a regular pentagon. Then construct the perpendicular bisectors to the five sides.

A quadrilateral with both pairs of opposite angles congruent is a ______ .

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.

Draw any large 螖ABC and construct equilateral triangles on each of the sides as shown.

  1. In each of the three equilateral triangles, construct any two medians and find their point of intersection.
  2. Draw the three segments connecting these three points of intersection.
  3. What appears tobe true about the triangle you drew in part (b)?

鈭�1 and 鈭�2 are given. You see two attempts at constructing an angle whose measure is equal to m鈭�1+m鈭�2. Are both constructions satisfactory?
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