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Chapter 9: Q13. (page 342)

a. Draw a three large circles and inscribe a different shaped quadrilateral ABCDin each.

b. Use a protractor to measure all the angles.

c. Compute m鈭�A+m鈭�C and m鈭�B+m鈭�D..

d. What is the relationship between opposite angles of an inscribed quadrilateral?

Short Answer

Expert verified

(a)

The final answer is

(b)

The final answer is

(c)

The final answeris

鈭�A+鈭�C=180鈥�and鈭�B+鈭�D=180

Step by step solution

01

a.Step 1. Given information:

The quadrilateral ABCD.

Angles= m鈭�A,m鈭�B,m鈭�C,m鈭�D.

02

Step 2. Concept used:

We use basic geometric and angle concept

03

Step 3. Applying the concept:

The above figure is the required figure that can be drawn from the given information.

04

b.Step 1. Given information:

The quadrilateral ABCD.

Angles= m鈭�A,m鈭�B,m鈭�C,m鈭�D.

05

Step 2. Concept used:

We use basic geometric and angle concept

06

Step 3. Applying the concept:

07

c.Step 1. Given information:

The quadrilateral ABCD.

Angles= m鈭�A,m鈭�B,m鈭�C,m鈭�D.

08

Step 2. Concept used:

We use basic geometric and angle concept

09

Step 3. Applying the concept: 

A circle with inscribe quadrilateral is drawn below.

Here, opposite angles are supplementary which means.

鈭�A+鈭�C=180鈭�鈭�B+鈭�D=180鈭�

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Most popular questions from this chapter

Given: PT炉is tangent to 鈯�Oat T;TS炉鈯�PO炉

Complete the following statements.

a. TS is the geometric mean between ? and ?

b. TO is the geometric mean between ? and ?

c. If OS=6 and SP=24,TS=? and TP=?

Given PA炉and PB炉 are tangents to 鈯�o.

Use the diagram at the right to explain how the corollary on page 333

follows from Theorem9-1.

JT炉is tangent to 鈯�O at T. Complete.

If OT=6 and JT=10, then JO=?

In exercises 8-13 find the angle or the arc named.

鈭�EQF

Circles Pand Qhave radii 6 and 2 and are tangent to each other. Find length of their common external tangent AB.炉
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