Question

find ( mangle g ).

write your answer as an integer or as a decimal rounded to the nearest tenth.
( mangle g = square^circ )

Explanation:

Step1: Identify sides for ∠G

For $\angle G$, opposite side $FH=2$, adjacent side $GH=1$.

Step2: Use tangent ratio formula

$\tan(\angle G) = \frac{\text{opposite}}{\text{adjacent}} = \frac{2}{1}=2$

Step3: Calculate ∠G with arctangent

$\angle G = \arctan(2)$
Calculate value: $\arctan(2) \approx 63.4^\circ$

Answer:

$63.4$