Unit 7, Lesson 4

Solving for Unknown Angles

Grade 7

Practice

Problem 1

is a point on line segment . is a line segment. Select all the equations that represent the relationship between the measures of the angles in the figure.

<p>M is a point on line segment K L. Segment N M creates two angles, measure a, degrees and b degrees.</p>

Problem 2

Which equation represents the relationship between the angles in the figure?

Two rays on the same side of a line meet at a point on the line to form 3 angles, with measure b degrees, 88 degrees, b degrees.

Problem 3

Segments , , and intersect at point , and angle is a right angle. Find the value of .

Segment A, B, segment E F, and segment C D intersect at point C. Clockwise, the endpoints are A, D, E, B, F. Angle A, C D is a right angle. Angle D C E is 53 degrees, angle E C B is g degrees.

Problem 4

ForLesson 12: Solving Problems about Percent Increase or Decrease

Select all the expressions that are the result of decreasing by 80%.

Problem 5

ForLesson 8: Reasoning about Solving Equations (Part 2)

Andre is solving the equation . He says, “I can subtract from each side to get and then divide by 4 to get .” Kiran says, “I think you made a mistake.”

How can Kiran know for sure that Andre’s solution is incorrect?
Describe Andre’s error, and explain how to correct his work.

Problem 6

ForLesson 7: Reasoning about Solving Equations (Part 1)

Solve each equation.

Problem 7

ForLesson 5: Two Equations for Each Relationship

A train travels at a constant speed for a long distance. Write the two constants of proportionality for the relationship between distance traveled and elapsed time. Explain what each of them means.

time elapsed (hr)	distance (mi)
1.2	54
3	135
4	180

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