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91Ó°ÊÓ

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

  • ∠ADE

Short Answer

Expert verified

The angle ∠ADE appears to be straight angle and it’s estimated measure is (m∠5+m∠6+m∠7).

Step by step solution

01

Step 1. Apply the definition of straight angle.

Straight angle is an angle which measures exactly 180°.

02

Step 2. Description of step.

From the given figure, it can be observed that the ∠ADE measures exactly,180° therefore, ∠ADE appears to be straight angle.

03

Step 3. Estimate the measure of ∠ADE

Clearly, ∠ADE=∠ADB+∠BDC+∠CDEwherein ∠ADB=m∠5, ∠BDC=m∠6and ∠CDE=m∠7.

∠ADE=m∠5+m∠6+m∠7=180°

Therefore, the estimated measure of ∠ADE=180°.

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