Question

Please answer both question fully.

Answer 1

Step-by-step explanation:

Part A

Angle measures:

• a = x = z = 51° (as vertical angles and corresponding angles)
• b = d = y = w = 180° - 51° = 129° (as supplementary angles and corresponding angles)

Part B

Supplementary angles for a linear pair and sum to 180°.

Examples are:

• a and b or
• a and d or
• x and y etc.

Answer 2

Solution:

Given:

• An angle which measures 51°

Using the given measure of an angle, we can identify all the angles.

• a° = 51° (Vertically opposite angles)
• b° = 180 - 51 = 129° (180° angle)
• d° = b° = 129° (180° angle)
• w° = 129 (Alternate inner angles)
• x = a = 51° (Alternate inner angles)
• z = x = 51° (Vertically opposite angles)
• w = y = 129° 9 (vertically opposite angles)

We can tell that:

• a = x = z = 51°
• b = d = w = y = 129°

Supplementary angles are pairs of angles that sums up to 180°.

Example of supplementary angle:

• ∠a and ∠b are supplementary angles because they sum up to 180°.