Question

find ( mangle dfg ).
a ( 105^circ )
b ( 38^circ )
c ( 97^circ )
d ( 127^circ )

Explanation:

Step1: Use the exterior angle theorem

The exterior angle theorem states that an exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(14x + 1=(5x - 7)+89\).

Step2: Solve the equation for \(x\)

$$
LATEXBLOCK0
$$

Step3: Find \(m\angle DFG\)

Substitute \(x = 9\) into \(14x+1\). Then \(14x+1=14\times9 + 1=126 + 1=127\).

Answer:

D. \(127^{\circ}\)