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HELP ASAP PLSSSS
Given:
measure of angle BAD = 134 degrees
measure of angle BAC = (2x + 3) degrees
measure of angle CAD = (4x - 1) degrees

Part A: Using the angle addition postulate, write and solve an equation for x. Show all your work.

Part B: Find the measure of angle CAD. Show all your work.

Respuesta :

jnkwhre

Answer :

  • x = 22
  • angle CAD = 87°

Explanation :

given to us an angle BAD in which point A extends to point C dividing angle BAD into angle BAC and CAD

part A)

according to the angle addition postulate ,the sum of two adjacent angles would be equal to the larger angle they are a part of i.e.

  • ∠BAC + ∠CAD = ∠BAD

inserting the respective expression for each angle

  • (2x+3)° + (4x-1)° = 134°
  • (2x+4x)° + (3-1)° = 134°
  • (6x)° + 2° = 134°
  • (6x)° = 134° -2°
  • (6x)° = 132°
  • x = 132°/6°
  • x = 22

thus, the value for x = 22

part B)

In order to find the measure of angle CAD,all we are required to do is plug in the value of x in the expression for angle CAD

  • ∠CAD = (4x-1)°
  • ∠CAD = (4*22-1)°
  • ∠CAD = (88-1)°
  • ∠CAD = 87°

thus, the measure of angle CAD is 87° .

fathimaasna14

Step-by-step explanation:

according to the given information, we can say that:

angle BAD = angle BAC + angle CAD

that is,

(2x+3)+(4x-1) = angle BAD

6x+2 = 134

6x = 132

x = 22

finding CAD,

CAD = 4x-1

= 4•22-1

= 88-1

= 87

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