Two angles (a + 31) and (b - 49o) are adjacent angles on a straight line. Which of the following is true

Assessment: WAEC SSCE - General Mathematics - 1996 (Objective) Subject: General Mathematics

Question 1 Report

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°.

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