Chapter 12: Q46. (page 691)

Multiple Choice: In the diagram shown, $m ∠ 3 = 72 °$ . What is $m ∠ 4$ ?
F. $18 °$ G. $36 °$ H. $108 °$ I. $144 °$

Short Answer

Expert verified

The correct option is option H.

Step by step solution

Step 1. Given information.

The measure of angle 3 is $m ∠ 3 = 72 °$ .

Step 2. Formula used.

Since, sum of the angles forming a linear pair is $180 °$ .

Step 3. Calculation.

Apply the definition of line angle.

$\begin{matrix} 72^{\circ} + m ∠ 4 = 180^{\circ} \\ m ∠ 4 = 180^{\circ} - m ∠ 3 \\ = 180^{\circ} - 72^{\circ} \\ = 108^{\circ} \end{matrix}$

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Multiple Choice: In the diagram shown, $m ∠ 3 = 72 °$ . What is $m ∠ 4$ ?
F. $18 °$ G. $36 °$ H. $108 °$ I. $144 °$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Formula used.

Step 3. Calculation.

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Multiple Choice: In the diagram shown, m∠3=72°. What is m∠4?F. 18° G. 36° H. 108° I. 144°

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Formula used.

Step 3. Calculation.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Applied Mathematics

Discrete Mathematics

Logic and Functions

Theoretical and Mathematical Physics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Multiple Choice: In the diagram shown, $m ∠ 3 = 72 °$ . What is $m ∠ 4$ ?
F. $18 °$ G. $36 °$ H. $108 °$ I. $144 °$