The correct symbol to fill in the blank is: c. > (greater than)
Therefore, HJ < HG is the relationship between the angles HJ and HG based on the given angle measures.
To determine the relationship between the angles HJ and HG based on the given information, which states that angle H equals 80° and angle J equals 45°, we can utilize the properties of angles in a triangle.
Considering the angles in a triangle, the sum of the interior angles equals 180°. Therefore, if we have the measures of angles H and J in triangle HJG, we can find the measure of angle HG.
Given:
Angle H = 80°
Angle J = 45°
Let's calculate angle HG:
In a triangle, the sum of all angles is 180°.
So, angle HG = 180° - (angle H + angle J)
= 180° - (80° + 45°)
= 180° - 125°
= 55°
Therefore, angle HG measures 55°.
Now, to determine the relationship between HJ and HG:
Angle HJ is opposite angle HG within triangle HJG, and since angle H is greater than angle J, which implies that angle HG is greater than angle HJ.
Hence, the correct symbol to fill in the blank is:
c. > (greater than)
Therefore, HJ < HG is the relationship between the angles HJ and HG based on the given angle measures.
Complete Question:
IfH = 80° and J = 45°, then HJ ___ HG
Choose the correct symbol to put in the blank.
a.<
b.=
c.>