Using the given figure, Ifthe measure of 1 = 150º,and 25 = 120º, find themeasure of the remainingangles.
Answer (1)
Answer:Here are the measures of the remaining angles: - Angle 2: Angles 1 and 2 are supplementary angles, meaning they add up to 180 degrees. So, angle 2 = 180 - 150 = 30 degrees.- Angle 3: Angles 2 and 3 are vertical angles, meaning they are equal. So, angle 3 = 30 degrees.- Angle 4: Angles 3 and 4 are supplementary angles. So, angle 4 = 180 - 30 = 150 degrees.- Angle 5: Angles 4 and 5 are vertical angles. So, angle 5 = 150 degrees.- Angle 6: Angles 5 and 6 are supplementary angles. So, angle 6 = 180 - 150 = 30 degrees.- Angle 7: Angles 6 and 7 are vertical angles. So, angle 7 = 30 degrees.- Angle 8: Angles 7 and 8 are supplementary angles. So, angle 8 = 180 - 30 = 150 degrees.- Angle 9: Angles 8 and 9 are vertical angles. So, angle 9 = 150 degrees.- Angle 10: Angles 9 and 10 are supplementary angles. So, angle 10 = 180 - 150 = 30 degrees.- Angle 11: Angles 10 and 11 are vertical angles. So, angle 11 = 30 degrees.- Angle 12: Angles 11 and 12 are supplementary angles. So, angle 12 = 180 - 30 = 150 degrees.
