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Chapter 4: Q3. WE (page 137)

For the following figure, find the value of x.

Short Answer

Expert verified

The value ofx=53鈭�.

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 thusAB=AC=10,鈭�BAC=74鈭�and 鈭�BCA=x.

鈭�ABC=鈭�ACB=x

Therefore, find the value of xas follows:

width="252">鈭�ABC+鈭�ACB+鈭�BAC=180鈭�x+x+74鈭�=180鈭�2x=180鈭�鈭�74鈭�x=53鈭�

Therefore, the value of x=53鈭�.

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Most popular questions from this chapter

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

Write proof in two-column form.

Given: AD炉鈯�BC炉; BA炉鈯�AC炉.

Prove: 鈭�1鈮�鈭�2.

Name the coordinates of two possible points H such that

ART


鈥�

is a common side of two congruent quadrilaterals.

Suppose you are given a scalene triangle and a point Pon some line l. How many triangles are there with one vertex at P, another vertex onl, and each triangle congruent to the given triangle.
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