Chapter 7: Q4. (page 243)

ABCD is a parallelogram. Find the value of each ratio.
$m ∠ B : m ∠ C$

Short Answer

Expert verified

The simplest form of $m ∠ B : m ∠ C = 5 : 1$

Step by step solution

Step 1. Given information.

According to the given figure is,

In parallelogram,

$\begin{array}{l} m ∠ B = 150^{\circ} \\ m ∠ C = 30^{\circ} \end{array}$

Write the ratio,

$\begin{array}{l} m ∠ B : m ∠ C = 150 : 30 \\ \frac{m ∠ B}{m ∠ C} = \frac{150}{30} \end{array}$

Step 2. Concept Used.

To write the fraction in simplest form, divide the numerator and denominator with the GCF (Greatest Common Factor).

Step 3. Now find the GCF.

Write the prime factors of numerator and denominator.

$\begin{array}{l} 30 = 2 \times 3 \times 5 \\ 150 = 2 \times 3 \times 5 \times 5 \end{array}$

Here GCF is $2 \times 3 \times 5 = 30$ .

Step 4. Let’s divide the numerator and denominator with the GCF.

Here we will divide the numerator and denominator by30v.

$\frac{150}{30} = \frac{150 / 30}{30 / 30} = \frac{5}{1}$

Therefore, the simplest form of the given ratio is $m ∠ B : m ∠ C = 5 : 1$ .

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ABCD is a parallelogram. Find the value of each ratio.
$m ∠ B : m ∠ C$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Concept Used.

Step 3. Now find the GCF.

Step 4. Let’s divide the numerator and denominator with the GCF.

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ABCD is a parallelogram. Find the value of each ratio.m∠B:m∠C

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Concept Used.

Step 3. Now find the GCF.

Step 4. Let’s divide the numerator and denominator with the GCF.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Pure Maths

Theoretical and Mathematical Physics

Discrete Mathematics

Geometry

Decision Maths

Study anywhere. Anytime. Across all devices.

ABCD is a parallelogram. Find the value of each ratio.
$m ∠ B : m ∠ C$