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Which of the following statements must be true about this diagram?

Which of the following statements must be true about this diagram?-example-1
User Jerfin
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1 Answer

7 votes

Answer:

Options (B), (D) and (E)

Explanation:

In the figure attached, a triangle has been given with interior angles x, y and z and exterior angle as w.

By the exterior angle theorem,

"Exterior angle formed by extending one side of a triangle is equal to the opposite two interior angles."

Therefore, x° + y° = w°

Since measure of angle w is equal to the sum of two angles x and y,

So, w° > x°

Similarly, w° > y°

Therefore, Options (B), (D) and (E) are the correct options.

User Syamantak Basu
by
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