The statement that is not false is: "One of the angles forming a linear pair can be obtuse angle."

Here's why:

1. "If two angles form a linear pair, then each of these angles is of measure 90°." This statement is false. A linear pair of angles is defined as two adjacent angles formed when two lines intersect. The sum of angles of a linear pair is always 180°. So, if two angles form a linear pair, they do not necessarily have to be 90° each. They can be of any measure as long as their sum is 180°.

2. "Angles forming a linear pair can both be acute angles." This statement is also false. Acute angles are angles whose measure is less than 90°. If two acute angles formed a linear pair, their sum would be less than 180°, which contradicts the definition of a linear pair.

3. "One of the angles forming a linear pair can be obtuse angle." This statement is true. An obtuse angle is an angle more than 90° but less than 180°. So, it's possible for one angle of a linear pair to be obtuse, as long as the other angle is an acute angle such that their sum is 180°.

4. "Bisectors of the adjacent angles form a right angle." This statement is false. The bisectors of adjacent angles that form a linear pair would form two angles of 90° each, not a single right angle.

Question

The statement that is not false is: "One of the angles forming a linear pair can be obtuse angle."

Here's why:

1. "If two angles form a linear pair, then each of these angles is of measure 90°." This statement is false. A linear pair of angles is defined as two adjacent angles formed when two lines intersect. The sum of angles of a linear pair is always 180°. So, if two angles form a linear pair, they do not necessarily have to be 90° each. They can be of any measure as long as their sum is 180°.

2. "Angles forming a linear pair can both be acute angles." This statement is also false. Acute angles are angles whose measure is less than 90°. If two acute angles formed a linear pair, their sum would be less than 180°, which contradicts the definition of a linear pair.

3. "One of the angles forming a linear pair can be obtuse angle." This statement is true. An obtuse angle is an angle more than 90° but less than 180°. So, it's possible for one angle of a linear pair to be obtuse, as long as the other angle is an acute angle such that their sum is 180°.

4. "Bisectors of the adjacent angles form a right angle." This statement is false. The bisectors of adjacent angles that form a linear pair would form two angles of 90° each, not a single right angle.

Knowee AI · Accepted Answer

The statement that is not false is: "One of the angles forming a linear pair can be obtuse angle."

Here's why:

1. "If two angles form a linear pair, then each of these angles is of measure 90°." This statement is false. A linear pair of angles is defined as two adjacent angles formed when two lines intersect. The sum of angles of a linear pair is always 180°. So, if two angles form a linear pair, they do not necessarily have to be 90° each. They can be of any measure as long as their sum is 180°.

2. "Angles forming a linear pair can both be acute angles." This statement is also false. Acute angles are angles whose measure is less than 90°. If two acute angles formed a linear pair, their sum would be less than 180°, which contradicts the definition of a linear pair.

3. "One of the angles forming a linear pair can be obtuse angle." This statement is true. An obtuse angle is an angle more than 90° but less than 180°. So, it's possible for one angle of a linear pair to be obtuse, as long as the other angle is an acute angle such that their sum is 180°.

4. "Bisectors of the adjacent angles form a right angle." This statement is false. The bisectors of adjacent angles that form a linear pair would form two angles of 90° each, not a single right angle.

Which one of the following statements is not false?If two angles forms a linear pair, then each of these angles is of measure 90°.Angles forming a linear pair can both be acute angles.One of the angles forming a linear pair can be obtuse angle.Bisectors of the adjacent angles form a right angle.

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