Look at the figure, O PORS. Find the mZP,
12
36°
140"
144"
1 answer:
m∠P = 144°
Solution:
PQRS is a parallelogram.
m∠P = 12a°, m∠Q = (4a - 12)° and m∠S = 3a°
<em>In parallelogram, opposite angles are congruent.</em>
m∠Q = m∠S
4a° - 12° = 3a°
Add 12° on both sides.
4a° - 12° + 12° = 3a° + 12°
4a° = 3a° + 12°
Subtract 3a° on both sides.
4a° - 3a° = 3a° + 12° - 3a°
a° = 12°
<u>To find the measure of angle P:</u>
m∠P = 12a°
= 12(12°)
m∠P = 144°
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