The angles FGH and FJH are corresponding angles
The measure of angle mFJH is 46,2 degrees
The given parameters are:
mFGH = (6x + 21) and mFJH = (17x - 28),
To calculate the angle FJH, we make use of the following equation
mFGH = mFJH
So, we have:
6x + 21 = 17x - 28
Collect like terms
17x - 6x = 21 + 28
Evaluate
11x = 48
Divide both sides by 11
x = 48/11
Recall that:
mFJH = (17x - 28),
So, we have:
mFJH = 17 * 48/11 - 28
mFJH = 46,2
Hence, the measure of angle mFJH is 46,2 degrees
Read more about congruent angles at:
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