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lesson 9.1 checkpoint once you have completed the above problems and ch…

Question

lesson 9.1 checkpoint
once you have completed the above problems and checked your solutions, complete the lesson checkpoint below.
complete the lesson reflection above by circling your current understanding of the learning goal.

  1. \\(abcd\\) is a parallelogram. find the following measures.

a. \\(m\angle b\\)
b. \\(\overline{ad}\\)

Explanation:

Equate opposite angles

Using the Opposite Angles of Parallelogram knowledge point

$$ LATEXBLOCK0 $$

Solve for x

Using the Solving Linear Equations knowledge point

$$ LATEXBLOCK1 $$

Calculate angle B

Using the Opposite Angles of Parallelogram knowledge point

$$ LATEXBLOCK2 $$

Equate opposite sides

Using the Parallelogram Theorems knowledge point

$$ LATEXBLOCK3 $$

Solve for y and AD

Using the Solving Linear Equations knowledge point

$$ LATEXBLOCK4 $$

Answer:

Question 1

a. \(m\angle B = 121^\circ\)

b. \(AD = 23\)