what is the measure of angle o in parallelogram lmno?\n35°\n75°\n105°\n155
what is the measure of angle o in parallelogram lmno?\n35°\n75°\n105°\n155
Answer
Answer:
105°
Explanation:
Step1: Use property of parallelogram
In a parallelogram, adjacent - angles are supplementary. So, ((x + 40)^{\circ}+(3x)^{\circ}=180^{\circ}).
Step2: Solve the equation for x
Combine like - terms: (x + 40+3x=180), which simplifies to (4x+40 = 180). Subtract 40 from both sides: (4x=180 - 40=140). Then divide both sides by 4: (x=\frac{140}{4}=35).
Step3: Find the measure of angle O
Since angle O is ((3x)^{\circ}), substitute (x = 35) into the expression. So, the measure of angle O is (3\times35^{\circ}=105^{\circ}).