# Geometry

m∠1 = 6x and m∠3 = 120. Find the value of x for p to be parallel to q. The diagram is not to scale.
*114
*126
*120
*20

Find the values of x, y, and z. The diagram is not to scale. (38*, 56*,19*,x*,z*,y*)
*x = 86, y = 94, z = 67
*x = 67, y = 86, z = 94
*x = 67, y = 94, z = 86
*x = 86, y = 67, z = 94

Find the value of x. The diagram is not to scale. (72*, x*, 105*)
*33
*162
*147
*75

Find the missing angle measures. The diagram is not to scale. (125*, 65*,x*,y*,124*)
*x = 124, y = 125
*x = 56, y = 114
*x = 114, y = 56
*x = 56, y = 124

Which lines, if any, can you conclude are parallel given that m∠1 + m∠2 = 180? Justify your conclusion with a theorem or postulate.
*j||k, by the Converse of the Same-Side Interior Angles Theorem
*j||k, by the Converse of the Alternate Interior Angles Theorem
*g||h, by the Converse of the Alternate Interior Angles Theorem
*g||h, by the Converse of the Same-Side Interior Angles Theorem

The Polygon Angle-Sum Theorem states: The sum of the measures of the angles of an n-gon is ____.
*n – 2/180
*(n – 1(180
*180/n - 1
*(-2)180

Write an equation in point-slope form of the line through point J (–5, 6) with slope –4
*y − 6 = −4(x − 5)
*y − 6 = 4(x + 5)
*y + 6 = −4(x − 5)
*y − 6 = −4(x + 5)

Write an equation in point-slope form, y – y1 = m(x – x1), of the line through points (4, –4) and (1, 2). Use (4, –4) as the point (x1, y1).
*(y – 4) = –2(x + 4)
*(y – 4) = 2(x + 4)
*(y + 4) = 2(x – 4)
*(y + 4) = –2(x – 4)

Is the line through points P(0, –9) and Q(2, –8) perpendicular to the line through points R(1, 4) and S(3, 3)? Explain.
*Yes; their slopes are equal.
*Yes; their slopes have product –1.
*No, their slopes are not reciprocals.
*No; their slopes have product –1.

Plans for a bridge are drawn on a coordinate grid. One girder of the bridge lies on the line y = 3x – 3. A perpendicular brace passes through the point (–7, 9). Write an equation of the line that contains the brace.
*y – 7 = 1/3 (x+9)
*y – 9 = 3(x + 7)
*x – 9 = 3(y + 7)
*y – 9 = -1/3 (x + 7)

How many sides does a regular polygon have if each exterior angle measures 20?
Classify the polygon by its sides.

The sum of the measures of two exterior angles of a triangle is 255. What is the measure of the third exterior angle?
Classify the triangle by its sides. The diagram is not to scale. (9,9,9)

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1. We do not do your work for you. Once you have answered your questions, we will be happy to give you feedback on your work. Although it might require more time and effort, you will learn more if you do your own work. Isn't that why you go to school?

Also, we don't have your diagrams.

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2. m�Ú1 = 6x and m�Ú3 = 120. Find the value of x for p to be parallel to q. The diagram is not to scale.

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3. Which lines, if any, can you conclude are parallel given that m1 + m 2 = 180°? Justify your conclusion with a theorem or postulate.

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4. x=86 y=94 z=67

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