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natta225 [31]
2 years ago
6

Please answer both question fully.

Mathematics
2 answers:
BARSIC [14]2 years ago
7 0

Step-by-step explanation:

<h3>Part A</h3>

<u>Angle measures:</u>

  • a = x = z = 51° (as vertical angles and corresponding angles)
  • b = d = y = w = 180° - 51° = 129° (as supplementary angles and corresponding angles)
<h3>Part B</h3>

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

<u>Examples are:</u>

  • a and b or
  • a and d or
  • x and y etc.
Leviafan [203]2 years ago
7 0

Solution:

Given:

  • An angle which measures 51°

<u>Using the given measure of an angle, we can identify all the angles.</u>

  • 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)

<u>We can tell that:</u>

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

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

<u>Example of supplementary angle:</u>

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

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