Chapter 3: Q7 (page 81)

Find the values of $x$ and $y$

Short Answer

Expert verified

Values are $x = 60 °$ and $y = 61 °$

Step by step solution

Step 1. Label the given figure

Step 2. Observations from figure

Arrowheads denote line segment $\bar{A B}$ is parallel to $\bar{C D}$

Line segments $\bar{B C}$ and $\bar{A C}$ are transversal to these parallel lines

- Find x degree

$∠ A B C$ and $∠ x$ forms a pair of alternate interior angles

Theorem 3-2: If two parallel lines are cut by a transversal then the alternate interior angles are congruent.

$\begin{matrix} ∠ x ≅ ∠ A B C \\ m ∠ x = m ∠ A B C \end{matrix}$

Thus, $x ° = 60 °$

- Find y degree

$∠ C A B$ and $∠ y$ forms a pair of corresponding angles

Postulate 10: If two parallel lines are cut by a transversal then the corresponding angles are congruent

$\begin{matrix} ∠ y ≅ ∠ C A B \\ m ∠ y = m ∠ C A B \end{matrix}$

Thus, $y ° = 61 °$

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Find the values of $x$ and $y$

Short Answer

Step by step solution

Step 1. Label the given figure

Step 2. Observations from figure

- Find x degree

- Find y degree

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Find the values of xand y

Short Answer

Step by step solution

Step 1. Label the given figure

Step 2. Observations from figure

- Find x degree

- Find y degree

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

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Study anywhere. Anytime. Across all devices.

Find the values of $x$ and $y$