Chapter 3: Q6 (page 110)

Complete.
Find the values of x and y.

Short Answer

Expert verified

The values of x and y are 50 and 60 respectively.

Step by step solution

Step 1. Label the given diagram

The labelled diagram is:

Step 2. Description of step.

From the given diagram it can be noticed that the lines AB and CD are parallel to each other.

From the given diagram it can be noticed that the angles $∠ E F G$ and $∠ F G H$ are alternate interior angles.

Therefore, $∠ E F G = ∠ F G H$

Therefore, it can be noticed that:

$\begin{matrix} ∠ E F G = ∠ F G H \\ y = 50 \end{matrix}$

Therefore, the value of is 50.

From the given diagram it can be noticed that the angles $∠ E O F$ and $∠ G O H$ are vertically opposite angles.

Therefore, $∠ E O F = ∠ G O H$ .

Therefore, it can be obtained that:

$\begin{matrix} ∠ E O F = ∠ G O H \\ = z \end{matrix}$

By using the exterior angle theorem it can be noticed that:

$∠ E O F + ∠ E F O = 110 z + y = 110 z + 50 = 110 z = 110 - 50 z = 60$

Therefore, the value of z is 60.

Step 3. Write the complete statement.

The values of y and z are 50 and 60 respectively.

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Complete.
Find the values of x and y.

Short Answer

Step by step solution

Step 1. Label the given diagram

Step 2. Description of step.

Step 3. Write the complete statement.

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Complete.Find the values of x and y.

Short Answer

Step by step solution

Step 1. Label the given diagram

Step 2. Description of step.

Step 3. Write the complete statement.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Pure Maths

Mechanics Maths

Applied Mathematics

Statistics

Calculus

Study anywhere. Anytime. Across all devices.

Complete.
Find the values of x and y.