In a right triangle, if one angle is 30°, what is the measure of the other non-right angle?

In a right triangle, if one angle is 30°, what is the measure of the other non-right angle?

• A. 30°
• B. 45°
• C. 60°
• D. 90°

Answer: (C)

In a right triangle, the sum of all interior angles is always 180°. One of these angles is the right angle, measuring 90°. Given that one angle is 30°, we can determine the measure of the other non-right angle by using the angle sum property. First, we know that: \[ \text{Sum of angles} = 180° \] Since one angle is already a right angle at 90° and another is 30°, we can set up the equation: \[ 90° + 30° + \text{Other angle} = 180° \] This simplifies to: \[ 120° + \text{Other angle} = 180° \] To find the measure of the other angle, we subtract 120° from 180°: \[ \text{Other angle} = 180° - 120° = 60° \] Thus, the measure of the other non-right angle in the triangle is 60°, making this the correct answer. The measure of the other angle cannot be 30° or 45°, as this would violate the rule that the sum of the angles must equal 180° in a triangle. Additionally, 90° represents

In a right triangle, the sum of all interior angles is always 180°. One of these angles is the right angle, measuring 90°. Given that one angle is 30°, we can determine the measure of the other non-right angle by using the angle sum property.

First, we know that:

[

\text{Sum of angles} = 180°

]

Since one angle is already a right angle at 90° and another is 30°, we can set up the equation:

[

90° + 30° + \text{Other angle} = 180°

]

This simplifies to:

[

120° + \text{Other angle} = 180°

]

To find the measure of the other angle, we subtract 120° from 180°:

[

\text{Other angle} = 180° - 120° = 60°

]

Thus, the measure of the other non-right angle in the triangle is 60°, making this the correct answer.

The measure of the other angle cannot be 30° or 45°, as this would violate the rule that the sum of the angles must equal 180° in a triangle. Additionally, 90° represents