Chapter 2: Q13. (page 107)

In $Δ A B C$ , what is the value of $w + x + y + z$ ?

Short Answer

Expert verified

The value of $w + x + y + z$ is $240 °$ .

Step by step solution

Step-1 – Apply the concept of angle sum property of triangle

Sum of all angles of a triangle is always $180 °$ .

Step-2 –Find the values of angles

Consider the provided $Δ A B C$

Apply the angle sum property in smaller triangle.

$\begin{matrix} 60 ° + w ° + x ° = 180 ° \\ w ° + x ° = 180 ° - 60 ° \\ w ° + x ° = 120 ° \end{matrix}$

Let $w {}^{\circ}+ x {}^{\circ}= 120 °$ …(1)

Apply the angle sum property in big triangle.

$\begin{matrix} 60 ° + y ° + z ° = 180 ° \\ y ° + z ° = 180 ° - 60 ° \\ y ° + z ° = 120 ° \end{matrix}$

Let $y {}^{\circ}+ z {}^{\circ}= 120 °$ …(2)

Step-3 –Calculation step

The objective is to find the value of $w {}^{\circ}+ x {}^{\circ}+ y {}^{\circ}+ z °$ .

Add the equations (1) and (2).

\begin{matrix} w ° + x ° + y ° + z ° = 120 ° + 120 ° \\ w ° + x ° + y ° + z ° = 240 ° \end{matrix}

Thus, the value of $w + x + y + z$ is $240 °$ .

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In $Δ A B C$ , what is the value of $w + x + y + z$ ?

Short Answer

Step by step solution

Step-1 – Apply the concept of angle sum property of triangle

Step-2 –Find the values of angles

Step-3 –Calculation step

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In ΔABC, what is the value of w+x+y+z?

Short Answer

Step by step solution

Step-1 – Apply the concept of angle sum property of triangle

Step-2 –Find the values of angles

Step-3 –Calculation step

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

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Study anywhere. Anytime. Across all devices.

In $Δ A B C$ , what is the value of $w + x + y + z$ ?