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Chapter 4: Q3. (page 146)

Find the value of x.

Short Answer

Expert verified

The value ofx is 30.

Step by step solution

01

- Label the given diagram.

The labelled diagram is:

02

- Description of step.

From the given diagram it can be noticed that the triangle螖ABC is an equilateral triangle.

Therefore, the measure of each angle of triangle螖ABC is 60掳.

Therefore, 鈭�ACB=60掳.

03

- Description of step.

From the given diagram it can be noticed that the angles 鈭�ACB,鈭�ACD and鈭�BCE lies on the same straight line.

Therefore, the sum of the angles role="math" localid="1648878149418" 鈭�ACB,鈭�ACD and鈭�BCE is 180掳.

Therefore, it can be obtained that:

鈭�ACB+鈭�ACD+鈭�BCE=180掳60掳+90掳+x掳=180掳150掳+x掳=180掳x掳=180掳鈭�150掳x掳=30掳鈬�x=30

Therefore, the value of is 30.

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Most popular questions from this chapter

Plot the given points on graph paper. Draw 螖ABCand 螖DEF. Copy and complete the statement 螖ABC鈮�?炉.

A鈭�7,鈭�3B鈭�2,鈭�3C鈭�2,0

D0,1E5,1F0,鈭�2

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.

Name the coordinates of two possible points H such that

ART


鈥�

Copy and complete the proof.

1. Given: 鈭�P鈮�鈭�S;Ois the midpoint of PS炉. Prove: is the midpoint of RQ炉

Proof

is a common side of two congruent quadrilaterals.
See all solutions

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