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Chapter 2: Q13. (page 107)

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

Short Answer

Expert verified

The value of w+x+y+z is 240掳.

Step by step solution

01

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

Sum of all angles of a triangle is always 180掳.

02

Step-2 –Find the values of angles

Consider the provided螖ABC



Apply the angle sum property in smaller triangle.

60掳+w掳+x掳=180掳w掳+x掳=180掳鈭�60掳w掳+x掳=120掳

Let w+鈭�x=鈭�120掳 鈥�(1)

Apply the angle sum property in big triangle.

60掳+y掳+z掳=180掳y掳+z掳=180掳鈭�60掳y掳+z掳=120掳

Let y+鈭�z=鈭�120掳 鈥�(2)

03

Step-3 –Calculation step

The objective is to find the value of w+鈭�x+鈭�y+鈭�z掳.

Add the equations (1) and (2).

w掳+x掳+y掳+z掳=120掳+120掳w掳+x掳+y掳+z掳=240掳

Thus, the value of w+x+y+z is 240掳.

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