Samantha measured two of the angles in PQR and found that they had measures of 65° and 70°. Then, she measured two of the angles

Question

patriot [66]

4 years ago

12

Samantha measured two of the angles in PQR and found that they had measures of 65° and 70°. Then, she measured two of the angles

in XYZ and found that they had measures of 65° and 45°. What statement best describes the two triangles?

Mathematics

2 answers:

GarryVolchara [31] · Answer 1 · 2021-11-20T05:41:14+03:00

GarryVolchara [31]4 years ago

7 0

Answer:

D: The two triangles may be congruent, but additional information is needed about the sides of each triangle.

Step-by-step explanation:

Got in right on Edge

Vlad [161] · Answer 2 · 2021-11-20T03:36:49+03:00

The two triangles are similar.

The angles of a triangle sum to 180°. Using the known angles in the first triangle, we find the missing angle measure:
180-(65+70) = 180-135 = 45

We do the same for the second triangle:
180-(65+45) = 180 - 110 = 70

Any two triangles that have all 3 angles congruent is similar by AAA.