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2 years ago

Please answer both question fully.

Mathematics

2 answers:

BARSIC [14]2 years ago

7 0

Step-by-step explanation:

<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)

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)

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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