Question

What is the value of x? What is the value of x?

Answer 1

23. because there is a 90 degree angle and then the 67 degree angle, and triangle law says that all angles add up to 180.

Answer 2

Applying the triangle sum theorem, the value of x is determined as: 23°.

The Triangle Sum Theorem

The triangle sum theorem states that all the three interior angles of a triangle will add up to give 180 degrees.

Thus, given that the right triangle has the following interior angles:

• 67°
• 90°
• x°

Therefore:

x + 67 + 90 = 180

x = 180 - 157

x = 23°

Therefore, applying the triangle sum theorem, the value of x is determined as: 23°.

Learn more about the triangle sum theorem on:

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