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Chapter 4: Q5. (page 137)

For the following figure, find the value of x.

Short Answer

Expert verified

The value ofx=5.

Step by step solution

01

Step 1. Check the figure.

Consider the figure.

02

Step 2. Apply the concept of isosceles triangles.

An isosceles triangle is a triangle that has two sides of equal length and two equal angles.

03

Step 3. Find the value.

Since the triangle is isosceles triangles thus鈭�ABC=鈭�ACB=40鈭� and AB=AC.

Therefore, find the value ofx as follows:

AB=AC5x鈭�8=2x+75x鈭�2x=7+8x=5

Therefore, the value of x=5.

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Most popular questions from this chapter

Plot the given points on graph paper. Draw 螖ABCand DE炉. Find two locations of point Fsuch that 螖ABC鈮�螖DEF.

A鈭�1,0B鈭�5,4C鈭�6,1D1,0E5,4.

In the following figure, the two-triangle shown are congruent. Then complete the following statement.

BO=___

For the following figure, can the triangle be proved congruent? If so, what postulate can be used?

The pentagons shown are congruent. Complete.

BLACK鈮�?炉

Decide whether you can deduce by the SSS, SAS, or ASA postulate that another triangle is congruent to 螖ABC. If so, write the congruence and name the postulate used. If not, write no congruence can be deduced.
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