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Use rectangle ABCDIf mzBAC = (4x + 5)º and m CAD = (5x - 14)°, find m2CAD.

Use Rectangle ABCDIf MzBAC 4x 5º And M CAD 5x 14 Find M2CAD class=

Sagot :

Answer:

m CAD is 41°

Step-by-step explanation:

The angles in a rectangle are 90 degrees each as the sides are perpendicular. A such, given that mzBAC = (4x + 5)º and m CAD = (5x - 14)°, then

4x + 5 + 5x - 14 = 90

Rearrange the equation

4x + 5x + 5 - 14 = 90

9x - 9 = 90

Collect like terms

9x = 90 + 9

9x = 99

Divide both sides by 9

x = 99/9

= 11

Recall that  m CAD = (5x - 14)°

Substitute the value of x into the expression

Hence

m CAD = (5*11 - 14)°

= (55 - 14)°

= 41°

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