Answer:
61
Step-by-step explanation:
In triangle GHI, sides GH and HI are equal. Base angles theorem tells us that the angle opposite of side HI, which is angle HGI, and the angle opposite of GH, which is HIG, will be equal: HGI=GIH
Let's assign these angles a variable x
The sum of the angles in a triangle is equal to 180 degrees, so all of the angles need to add up to 180: GHI+GIH+HGI=180
The question tells us that GHI is equal to 58 degrees, and we found out using base angles theorem that GIH=HGI=x, so we can write this as an equation:
58+x+x=180
Solve the equation to find x:
- 58+x+x=180
- 58+2x=180 (Add x+x)
- 58-58+2x=180-58 (Subtract 58 from each side)
- 2x=122
- x=61
x=61, which means that both angles IGH and GIH measure 61 degrees. The question is asking only for angle GIH, so GIH=61 degrees.
hope this helps please lmk if i made a mistake!!
