In triangle fgh, if the measure of angle g is five less than twice the measure of angle f and the measure of angle h is eighteen less than four times the measure of angle f, find the measure of angle g.

The measure of angle G is

Step-by-step explanation:

Let

F ----> the measure of interior angle F of the triangle FGH

G ---> the measure of interior angle G of the triangle FGH

H ---> the measure of interior angle H of the triangle FGH

we know that

The sum of the interior angles in a triangle must be equal to 180 degrees

so

----> equation A

----> equation B

----> equation C

Solve the system of equations by substitution

substitute equation B and equation C in equation A

Solve for F

Find the measure of angle G

substitute the value of F

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step-by-step explanation: