Chapter 4: Q2. WE (page 137)

For the following figure, find the value of $x$ .

Short Answer

Expert verified

The value of $x = 45^{\circ}$ .

Step by step solution

Step 1. Check the figure.

Consider the figure.

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.

Step 3. Find the value.

Since the triangle is isosceles triangles thus $A B = A C$ and $∠ A B C = 90^{\circ}$ .

$∠ B A C = ∠ B A C = x^{\circ}$ .

Therefore, find the value of $x$ as follows:

$∠ A B C + ∠ A C B + ∠ B A C = 180^{\circ} 90^{\circ} + x + x = 180^{\circ} 2 x = 180^{\circ} - 90^{\circ} x = 45^{\circ}$

Therefore, the value of $x = 45^{\circ}$ .

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For the following figure, find the value of $x$ .

Short Answer

Step by step solution

Step 1. Check the figure.

Step 2. Apply the concept of isosceles triangles.

Step 3. Find the value.

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For the following figure, find the value of x.

Short Answer

Step by step solution

Step 1. Check the figure.

Step 2. Apply the concept of isosceles triangles.

Step 3. Find the value.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Geometry

Calculus

Logic and Functions

Discrete Mathematics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

For the following figure, find the value of $x$ .