3 lines are shown. A line with points C, A, F intersects a line with points E, A, B at point A. A line extends from point A to point D in between angle E A F. Angle C A E is 61 degrees, angle D A F is 90 degrees, and angle F A B is 61 degrees. Find the following angle measures. mAngleEAD = ° mAngleCAB = °

Answers

Answer 1

Answer:

m < EAD = 29 degrees

m < CAB = 119 degrees

Given :

The question states that m < CAE = m<FAB = 61 degrees and m<DAF = 90 degrees

Solution:

1. Since line CAF and EAB intersect each other, m<CAF = m< EAF - (opposite vertical angles are equivalent)

2. m<BAC + m<EAC = 180 degrees (sum of linear pair)

3. m<CAB = 180 degrees - m<EAC

4. Equation 1: m<CAB = m<EAF = 119 degrees

5. m<EAF = m<EAD + m< DAF

6. m<EAD = m<EAF - m<DAF

7. m<EAD = 119 degrees-90 degrees = 29 degrees

Hope this helps!!! :)

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3 Lines Are Shown. A Line With Points C, A, F Intersects A Line With Points E, A, B At Point A. A Line
Answer 2

m < EAD = 29 degrees

m < CAB = 119 degrees

It is given that Angle C A E is 61 degrees,

angle D A F is 90 degrees,

angle F A B is 61 degrees

We need to find mAngleEAD and  mAngleCAB

What is sum of linear pair angles?

The sum of linear pairs is 180 degrees

Since line CAF and EAB intersect each other, m<CAF = m< EAF - (opposite vertical angles are equivalent)

m<BAC + m<EAC = 180 degrees (sum of linear pair)

m<CAB = 180 degrees - m<EAC

Equation 1: m<CAB = m<EAF = 119 degrees

m<EAF = m<EAD + m< DAF

m<EAD = m<EAF - m<DAF

m<EAD = 119 degrees-90 degrees = 29 degrees

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Related Questions

Find the area of each figure. If necessary, use 3.14 for pi. and round to the
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Answers

Answer:

a is 6 sq ft, b is 15 sq ft

Step-by-step explanation:

I'm going to call the bottom triangle (the one with 3, and 4 as its side lenght), and the top one, b.

So a is 3 times 4/2=12/2=6 sq ft.

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Answer:

21 ft²

Step-by-step explanation:

A = [tex]A_{1}[/tex] + [tex]A_{2}[/tex]

[tex]A_{1}[/tex] = (5 × 6) ÷ 2 = 15 ft²

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Step-by-step explanation:  

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Given:

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To find:

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Step 2: Substitute x and y into [tex](x+4,y-2):[/tex]

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3
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Answers

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Step-by-step explanation:

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Answers

Answer:

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Answer:

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Step-by-step explanation:

134−56·0+16÷1=


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Answers

Answer:

x=0.9

Step-by-step explanation:

4x+9

7

3

=

3x

0.5

Step 1: Cross-multiply.

4x+9

7

3

=

3x

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(4x+9)*(0.5)=3x*(

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One possible solution to a diminishing Social Security payroll is to decrease the Social Security benefit by 13%. How
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Answers

Answer:

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Answers

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Step-by-step explanation:

Answer:

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Answers

Answer:

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Step two:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

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