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3. use the protractor to find the measures of the following angles. a. …

Question

  1. use the protractor to find the measures of the following angles. a. m∠bac = 60° b. m∠cad = 50° c. m∠bad = 110° d. m∠ead = 70°

Explanation:

Step1: Measure ∠BAC

Read the value where ray AB and ray AC intersect the protractor. We see that m∠BAC = 40°.

Step2: Measure ∠CAD

Read the value where ray AC and ray AD intersect the protractor. We see that m∠CAD = 70°.

Step3: Measure ∠BAD

Since ∠BAD=∠BAC + ∠CAD, m∠BAD=40° + 70° = 110°.

Step4: Measure ∠EAD

We assume ray AE is along the 180 - degree mark. If we consider the position of ray AD, m∠EAD = 180°- 110°=70°.

Answer:

a. m∠BAC = 40°
b. m∠CAD = 70°
c. m∠BAD = 110°
d. m∠EAD = 70°