Which similarity statement describes the relationship between a triangle with angles m<A=48°, m<B=17°, and m<C=115° and another triangle with angles m<H=17°, m<I=48°, and m<J= 115°?
The similarity statement that describes the relationship between the two triangles is: ΔABC ~ ΔHIJ.
To determine the similarity between the two triangles, we need to compare the corresponding angles.
In the first triangle, we have:
m<A = 48°
m<B = 17°
m<C = 115°
In the second triangle, we have:
m<H = 17°
m<I = 48°
m<J = 115°
Comparing the corresponding angles:
The measure of angle A in the first triangle is the same as the measure of angle I in the second triangle.
m<A = m<I = 48°
The measure of angle B in the first triangle is the same as the measure of angle H in the second triangle.
m<B = m<H = 17°
The measure of angle C in the first triangle is the same as the measure of angle J in the second triangle.
m<C = m<J = 115°
Based on this comparison, we can conclude that the two triangles are similar.
The similarity statement would be:
Triangle ABC ~ Triangle HIJ