Respuesta :
The value of angle p is 105° and q is 75°.
Supplementary angles are the angles that when added together, their value equals to 180°.
Based on the information given, since angle p is 30 degrees more than q, then the value of angle p will be:
p = 30 + q
Therefore, to solve the question goes thus:
p + q = 180°
(30 + q) + q = 180°
30° + 2q = 180°
2q = 180° - 30°
2q = 150°
Therefore, q = 150°/2 = 75°
Since P = 30° + q
P = 30° + 75°
P = 105°
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