Question

What can you say about each of the interior opposite angles,when the exterior angle is (1) a right angle (2) an obtuse angle (3) an acute angle

Answer 1

Answer: In a parallelogram

1.When the exterior angle is a right angle then the interior opposite angle is also a right angle.

2.When the exterior angle is an obtuse angle then the interior opposite angle is an acute angle.

3. When the exterior angle is an acute angle the interior opposite angle is an obtuse angle.

Answer 2

Answer:

1.  a right angle, 2. an acute angle, 3. an obtuse angle.

Step-by-step explanation:

Property: The sum of an adjacent interior angle and exterior angle for any polygon is equal to 180° since they form a linear pair.

Linear pair: The angles are said to be linear if they are adjacent to each other after the intersection of the two lines. The sum of angles of a linear pair is always equal to 180°.

1. A right angle

Interior opposite angle= 180°- 90°= 90°.

When the exterior angle is a right angle then the interior opposite angle is a right angle.

2. an obtuse angle

Obtuse angle means angle more than 90°.

Interior opposite angle = 180° - obtuse angle= an acute angle.

When the exterior angle is an obtuse angle then the interior opposite angle is an acute angle.

3. an acute angle.

Acute angle means angle less than 90°.

Interior opposite angle = 180° - acute angle = obtuse angle.

When the exterior angle is an obtuse angle then the interior opposite angle is an obtuse angle.

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