△abc has interior angles with measures 130°, x°, and 15°, and △def has interior angles with measures 35°, 15°, and y°. using the given information, which statement is true? the triangles are not similar because x≠y . the triangles are similar because they each have an interior angle with measure 15°. the triangles are similar because y=130 and there are three pairs of congruent angles. the triangles are not similar because x≠15 .

(C)      

Step-by-step explanation:

It is given that △ABC has interior angles with measures 130°, x°, and 15°, and △DEF has interior angles with measures 35°, 15°, and y°.

Using the angle sum property in ΔABC, we have

∠A+∠B+∠C=180°

⇒130°+x+15°=180°

⇒x=180-145

⇒x=35°

Again applying Angle sum property in ΔDEF, we have

∠D+∠E+∠F=180°

⇒35°+15°+y=180°

⇒y=180-50

⇒y=130°

Thus, ∠A=∠F=130°, ∠B=∠D=35° and ∠C=∠E=15°.

Therefore, the two given triangles are similar because y=130° and there are three pairs of congruent angles.

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this