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 opposite/adjacent to $\angle G$

Opposite side $HI=3$, adjacent side $GH=6$

Step2: Use tangent ratio for $\angle G$

$\tan(\angle G) = \frac{\text{opposite}}{\text{adjacent}} = \frac{3}{6} = 0.5$

Step3: Calculate $\angle G$ via arctangent

$\angle G = \arctan(0.5)$

Answer:

$26.6^\circ$