Question

Geometry please help-
If HI and JI are tangent segments, what is the measure of angle HJI?

Answer 1

66°

there are 180° in a triangle so do 180-48 to get 132. this gives you the values for both of the other angles together as it is an isosceles triangle. to find the one angle divide this by 2 to get 66°

Answer 2

Answer:

68°

Step-by-step explanation:

We can find this by remembering that tangents meet a circle at a ninety degree angle with the diameter or a radius that touches the point of intersection. By understanding that because these two tangents intersect at a point outside the circle there angle measure is the same so we can use the 180° total in a triangle to find the remaining degrees to be divided into the two measures we need to find. Because 180 - 48 equals 132 we divide this by 2 to get our angle measure of 68 degrees.