The value of x is 6 and the measure of ∠C is 86 degrees
How to solve for x and the measure of c?
The complete question is added as an attachment
Given that:
ABCDE ~ LMNOP
It means that we have the following equivalent ratio
ED : BC = PO : MN
This gives
8 : 6 = 12 : x
Express as fraction
6/8 = x/12
Multiply both sides by 12
12 * 6/8 = x
Evaluate
9 = x
Rewrite as
x = 9
Also
ABCDE ~ LMNOP implies that the corresponding angles are equal
The corresponding angle of C is N
And, we have:
N = 86
This implies that
C = 86
Hence, the value of x is 6 and the measure of ∠C is 86 degrees
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