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Question

The size of angle aob is equal to 132 degrees and the size of angle cod is equal to 141 degrees. find the size of angle dob.

Answer

"Students, we have two angles, AOB and COD, whose measures we know. Angle AOB measures 132 degrees and is also equal to the sum of angles AOD and DOB. This means that the sum of angles AOD and DOB is 132 degrees, as stated in equation 1. Angle COD, on the other hand, measures 141 degrees and is also equal to the sum of angles COB and BOD. Therefore, the sum of angles COB and DOB is 141 degrees, according to equation 2. We can combine these equations by adding the left sides together and the right sides together to get a new equation: angle AOD + angle DOB + angle COB + angle DOB = 132 + 141, as stated in equation 3. It is important to note that the sum of angles AOD, DOB, and COB is always 180 degrees. Using this information, we can substitute angle AOD + angle DOB + angle COB in equation 3 with 180 degrees, and solve for angle DOB. We find that angle DOB equals 93 degrees."