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3 years ago

11. Consider the figures below. Find the value of y to prove that the two triangles are congruent by ASA.

Mathematics

1 answer:

grigory [225]3 years ago

4 0

9514 1404 393

Answer:

y = 8

Step-by-step explanation:

You will get the same value for y whether you approach the problem by making corresponding angles equal, or by making corresponding sides equal. The equation for the sides takes less work to solve.

2y -3 = y +5

y = 8 . . . . . . . . add 3-y to both sides

_____

Check

This value of y makes the angles ...

(6y -5)° = (6·8 -5)° = 43°

(4y +11)° = (4·8 +11)° = 43°

Corresponding angles and the side between them have the same measures, so the triangles are congruent by ASA.

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