The measure of each angles are 21 and 83degrees
Addition postulate
A line is defined as the distance between two points while an angle is the point where two lines intersect.
From the diagram shown, the expression below is true;
<EFH + <HFG = <EFG
Substitute the given parameters to have:
5x+1 + 62 = 18x + 11
Collect the like terms
5x - 18x = 11 - 63
-13x = -52
x = 52/13
x = 4
Find each measure
<EFH = 5(4) + 1
<EFH = 21
degrees
<EFG = 18(4) +11
<EFG = 72 + 11
<EFG = 83 degrees
Hence the measure of each angles are 21 and 83degrees
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