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Solve for the angles

The figure shows adjacent angles BAC and CAD.
Given:

m∠BAD = 134°

m∠BAC = (2x + 3)°

m∠CAD = (4x −1)°


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


Part B: Find the m∠CAD. Show all your work.

Solve for the anglesThe figure shows adjacent angles BAC and CADGivenmBAD 134mBAC 2x 3mCAD 4x 1Part A Using the angle addition postulate write and solve an equa class=


Answer :

The value of x in the diagram is 22 and angle.

what is an angle?

An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle. The word angle comes from a Latin word named ‘angulus,’ meaning “corner.”

From the diagram,

∠BAD = ∠BAC + ∠CAD

But,

∠CAD = (4x-1), ∠BAC = (2x + 3), ∠BAD  = 134

4x -1 + 2x + 3 = 134

6x + 2 = 134

6x = 134 - 2

6x = 132

x = 132/6

x = 22

∠CAD = 4x - 1, here x = 22

∠CAD  = 4 x 22 - 1 which is 87°

In conclusion the value of x is 22 and ∠CAD  =  87°

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