In quadrilateral ABCD𝐴𝐵𝐶𝐷 below, A^=93°𝐴^=93°, B^=80°𝐵^=80°, C^=x𝐶^=𝑥, and D^=81°𝐷^=81°.Determine the size of x𝑥, giving a reason for your answer.Answer:x=𝑥= °° 2 attempts remaining
Question
In quadrilateral ABCD𝐴𝐵𝐶𝐷 below, A^=93°𝐴^=93°, B^=80°𝐵^=80°, C^=x𝐶^=𝑥, and D^=81°𝐷^=81°.Determine the size of x𝑥, giving a reason for your answer.Answer:x=𝑥= °° 2 attempts remaining
Solution
The sum of the interior angles of a quadrilateral is 360 degrees.
Given that angle A = 93 degrees, angle B = 80 degrees, and angle D = 81 degrees, we can find angle C (x) by subtracting the sum of angles A, B, and D from 360.
So, x = 360 - (93 + 80 + 81) = 360 - 254 = 106 degrees.
Therefore, the size of angle C (x) is 106 degrees.
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