Question

Hello help me please i need it a lot

Answer 1

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Hint :

Equilateral triangle has same sides and same angles.

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Suppose that one of the angles has a measure of y .

So angles are : y , y and y

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Sum of the interior angles of any triangle is 180° .

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According above :

`y + y + y = 180°`

`3y = 180°`

Divide sides by 3

`(3y)/(3) = (180)/(3) \\`

`y = 60°`

We found that the measure of the angles are equal , so this is the measure of all three angles.

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Question gave us one of the angles as

4x -12 .

So ;

`4x - 12 = 60`

Add sides 12

`4x - 12 + 12 = 60 + 12`

`4x = 72`

Divide sides by 4

`(4x)/(4) = (72)/(4) \\`

`x = (9 * 2 * 4)/(4) \\`

`x = 9 * 2`

`x = 18`

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We found that sides are same ,

So :

`BZ = DB = DZ = 7x + 119 \\`

Thus :

`DB = 7x + 119`

`DB = 7(18) + 119`

`DB = 126 + 119`

`DB = 245`

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The correct answer is Option three .

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