A quadrilateral is a shape with four sides
The indicated measures are A = 56, B = 128, C = 100 and D = 76
How to determine the indicated measures
The angles in a quadrilateral add up to 360 degrees.
So, we have:
4n + 5n + 6 + 9n + 2 + 8n - 12 = 360
Collect like terms
4n + 5n + 9n + 8n = 360 - 6 - 2 + 12
Evaluate the like terms
26n = 364
Divide through by 26
n = 14
From the figure, we have:
A = 4n
B = 9n + 2
C = 8n - 12
D = 5n + 6
So, we have:
A = 4 * 14 = 56
B = 9*14 + 2 = 128
C = 8*14 - 12 = 100
D = 5*14 + 6 = 76
Hence, the indicated measures are
A = 56, B = 128, C = 100 and D = 76
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