Two angles (a + 31) and (b - 49o) are adjacent angles on a straight line. Which of the following is true
Answer Details
We are given that the angles (a + 31) and (b - 49) are adjacent angles on a straight line.
When two adjacent angles form a straight line, they add up to 180 degrees. This is known as the straight angle theorem. Therefore, we can write:
(a + 31) + (b - 49) = 180
Simplifying the expression, we get:
a + b - 18 = 180
Adding 18 to both sides, we get:
a + b = 198
Therefore, the sum of the angles a and b is 198 degrees.
Hence, the answer is: a + b = 198°.