Chapter 1: Q11 (page 20)

State whether the angle appears to be acute, right, obtuse, or straight. Then estimate its measure.
$∠ A D C$

Short Answer

Expert verified

The angle $∠ A D C$ appears to be obtuse angle and it’s estimated measure is $(m ∠ 6 + m ∠ 5)$ .

Step by step solution

Step 1. Apply the definition of acute angle

Obtuse angle is an angle which measures between $90 °$ to $180 °$ .

Step 2. Description of step

From the given figure, it can be observed that the $∠ A D C$ measures between $90 °$ to $180 °$ therefore, $∠ A D C$ appears to be obtuse angle.

Step 3. Estimate the measure of ∠ADC

Clearly, $∠ A D C = ∠ A D B + ∠ B D C$ wherein $∠ A D B = m ∠ 5$ and $∠ B D C = m ∠ 6$ .

Therefore, $∠ A D C = m ∠ 6 + m ∠ 5$ .

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State whether the angle appears to be acute, right, obtuse, or straight. Then estimate its measure.
$∠ A D C$

Short Answer

Step by step solution

Step 1. Apply the definition of acute angle

Step 2. Description of step

Step 3. Estimate the measure of ∠ADC

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State whether the angle appears to be acute, right, obtuse, or straight. Then estimate its measure.∠ADC

Short Answer

Step by step solution

Step 1. Apply the definition of acute angle

Step 2. Description of step

Step 3. Estimate the measure of ∠ADC

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Theoretical and Mathematical Physics

Discrete Mathematics

Mechanics Maths

Statistics

Calculus

Study anywhere. Anytime. Across all devices.

State whether the angle appears to be acute, right, obtuse, or straight. Then estimate its measure.
$∠ A D C$