Respuesta :

calculista

Part 1) Find m∠EAD

we know that

m∠EAD+m∠DAF+m∠BAF=[tex]180\°[/tex] ----> by supplementary angles

solve for m∠EAD

m∠EAD=[tex]180\°[/tex]-(m∠DAF+m∠BAF)

in this problem we have

m∠DAF=[tex]90\°[/tex]

m∠BAF=[tex]61\°[/tex]

substitute in the formula above

m∠EAD=[tex]180\°-90\°-61\°=29\°[/tex]

therefore

the answer part 1) is

m∠EAD=[tex]29\°[/tex]

Part 2)  Find m∠CAB

we know that

m∠CAB+m∠BAF=[tex]180\°[/tex] --------> by supplementary angles

solve for m∠CAB

m∠CAB=[tex]180\°[/tex]-m∠BAF

in this problem we have

m∠BAF=[tex]61\°[/tex]

substitute in the formula above

m∠CAB=[tex]180\°-61\°=119\°[/tex]

therefore

the answer part 2) is

m∠CAB=[tex]119\°[/tex]

The values of the angles are

  • EAD = 29 degree
  • CAB = 151 degree

From the diagram given, we are asked to solve for angle EAD and angle CAB.

Angle EAD

To solve the missing angle, we have to use angle on a straight line is equal to 180 degree

[tex]CAE+EAD+DAF=180^0[/tex]

Reason: sum of angles on a straight line is equal to 180 degrees

[tex]61^0+EAD+90^0=180\\EAD=180-151\\EAD=29^0[/tex]

Angle CAB

We would use the previous method we used to solve angle EAD which is "sum of angles on a straight line is equal to 180 degrees.

[tex]CAB+FAB=180^0[/tex]

Reason: sum of angles on a straight line is equal to 180 degrees.

[tex]CAB+61=180\\180-61=151\\CAB = 151^0[/tex]

From the calculations above, the values of the angles are

  • EAD = 29 degree
  • CAB = 151 degree

Learn more on supplementary angles here;

https://brainly.com/question/18217469

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