Question

Find each angle in the figure giving reasons​

Answer 1

Step-by-step explanation:

angle a = angle COA (alternate angle)

b= angle DOB (alternate angle)

hope it helps :)

Answer 2

Given:

• COD || AB
• ∠COA = 50°
• ∠ABO = 40°

To Find:

1. ∠a
2. ∠b

Solution:

1. ∠a

COD || AB and OA is a transversal. Then, we get:

∠a = ∠COA = 50° [Alternate interior angles]

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2. ∠b

COD || AB and OB is a transversal. Then, we get:

∠b = ∠ABO = 40° [Alternate interior angles]

Hence, ∠a = 50° and ∠b = 40°.

Extra Information:

• Two lines (take a and b) are said to be parallel if the distance between the two lines are always same, however far they are extended.
• Transversal is a line which intersects two or more lines at a point.

In the image attached:

• Corresponding Angles are (∠1, ∠5), (∠2, ∠6), (∠3, ∠7), (∠4, ∠8). Corresponding Angles are always equal.
• Alternate Interior Angles are (∠3, ∠5), (∠4, ∠6). Alternate Interior Angles are always equal.
• Alternate Exterior Angles are (∠2, ∠8), (∠2, ∠8). Alternate Exterior Angles are always equal.
• Consecutive Interior Angles are (∠3, ∠6), (∠4, ∠5). They are also called co-interior angles. Sum of Consecutive Interior Angles are always 180°