MATHEMATICS
JAMB 2022 - Question 27
Mathematics 2022 JAMB Past Questions - Question 27: The angles of a quadrilateral are 5x – 30, 4x + 60, 60 – x and 3x + 61. find the smallest of these angles.
A:
B:
C:
D:
Correct Answer
C
Explanation
To find the smallest angle among the given angles 5x - 30, 4x + 60, 60 - x, and 3x + 61, we can compare the expressions and determine the smallest value.Let's set up the inequalities:5x - 30 < 4x + 604x + 60 < 60 - x60 - x < 3x + 61Simplifying each inequality:x < 905x < 04x < -120x > -160 < 4x + 61-1 < xFrom these inequalities, we can see that the smallest possible value for x is -1.Substituting x = -1 into the given angles:5x - 30 = 5(-1) - 30 = -5 - 30 = -354x + 60 = 4(-1) + 60 = -4 + 60 = 5660 - x = 60 - (-1) = 60 + 1 = 613x + 61 = 3(-1) + 61 = -3 + 61 = 58Therefore, the smallest angle among the given angles is -35.
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