Let's go through the blanks step by step based on the image you provided.

2. Fill in the blanks:

a. The sum of two complementary angles is 90°
Complementary angles are two angles that add up to 90°.

b. The sum of two supplementary angles is 180°
Supplementary angles are two angles that add up to 180°.

c. If two equal angles are supplementary, then the measure of each angle is 90°
Since supplementary angles add up to 180° and the angles are equal, each angle must measure 180° ÷ 2 = 90°.

d. If two lines intersect each other, then vertically opposite angles are equal
Vertically opposite angles are always equal when two lines intersect.

e. Two angles formed by two intersecting lines having no common arm are called linear pair angles
These are pairs of adjacent angles formed by intersecting lines that add up to 180°.

For the last part:

Smriti was drawing a figure in her math notebook. After drawing, she noticed that the lines were not equidistant everywhere and she then marked a few angles. Are the angles marked correct? Why?

• Based on the description, if the lines are not equidistant everywhere, it suggests the lines are not parallel. The angles marked in such a case may not follow the expected properties of parallel lines, like alternate interior angles being equal or corresponding angles being equal. Therefore, the angles marked might not be correct unless other geometric properties apply.

Would you like a detailed explanation of any part of this?

Here are a few related questions you might find interesting:

1. What is the relationship between complementary and supplementary angles?
2. How can you prove that vertically opposite angles are equal?
3. What are linear pairs and how are they formed in geometry?
4. What happens to the angles when two parallel lines are intersected by a transversal?
5. How does the distance between parallel lines affect angle measures in geometry?

Tip: When working with intersecting lines, always remember that vertically opposite angles are equal, and adjacent angles form supplementary angles (add up to 180°).