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Ulleksa [173]
3 years ago
7

Find the value of y.

Mathematics
1 answer:
Alexandra [31]3 years ago
3 0

Answer. First option: -1

Solution:

We have a triangle, and we know two angles of 60° each one. We can find the third angle A, using:

A+B+C=180°, with B=60° and C=60°:

A+60°+60°=180°

Solving for A: Adding similar terms:

A+120°=180°

Subtracting 120° both sides of the equation:

A+120°-120°=180°-120°

A=60°

The third angle A is 60° too, then the triangle has three equal angles of 60° each one, and it is an equillateral triangle, thus its three sides must be congruents:

2y+6=4=2x-3

We need to find the value of y, then using the first equality:

2y+6=4

Solving for y: Subtracting 6 both sides of the equation:

2y+6-6=4-6

2y=-2

Diniding both sides of the equation by 2:

2y/2=-2/2

y=-1

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