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3 years ago

The interior angles formed by the sides of a quadrilateral have measures that sum to 360°.

Mathematics

2 answers:

lidiya [134]3 years ago

6 0

2x+2x+124+124 = 360
4x+248 = 360
4x = 360 - 248
4x = 112
x = 112/4
x = 28

answer x = 28

Svetach [21]3 years ago

4 0

Let

$angle 1=2x$ °

$angle 2=2x$ °

$angle 3=124$ °

$angle 4=124$ °

we know that

The interior angles formed by the sides of a quadrilateral have measures that sum to 360°

$angle 1+angle 2+angle 3+angle 4=360$ °

$2x+2x+124+124=360\\ 4x+248=360\\ 4x=112\\ x=28degrees$

therefore

the answer is

$x=28degrees$

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Coordinates of Q $(x_2,y_2) \:are\: \mathbf{(7,16)}$

Option D is correct option.

Step-by-step explanation:

We are given:

K is the midpoint of PQ

Coordinates of P = (-9,-4)

Coordinates of K = (-1,6)

We need to find coordinates of Q $(x_2,y_2)$

We will use the formula of midpoint: $Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

We are given midpoint K and $x_1,y_1$ the coordinates of P we need to find $x_2,y_2$ the coordinates of Q.

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$-1=\frac{-9+x_2}{2}, 6=\frac{-4+y_2}{2}\\Simplifying:\\-2=-9+x_2\:,\: 12=-4+y_2\\-2+9=x_2\:,\: 12+4=+y_2\\x_2=7\:,\:y_2=16$

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