Answer:
The Value of x is 10.
Step-by-step explanation:
Consider ABCD is a Parallelogram where
∠BCA = 43°
∠CBA = 98°
∠ACD = (2x+9)
To Find:
x = ?
Solution:
Triangle sum property:
In a Triangle sum of the measures of all the angles of a triangle is 180°.
In ΔABC
[tex]\angle ABC+\angle BCA+\angle CAB=180\\\\98+43+\angle CAB=180\\\therefore m\angle CAB =180-141=39\°[/tex]
Now CD || BA .......opposite sides of Parallelogram is parallel
[tex]\angle CAB=\angle ACD[/tex].........Alternate Angles are equal
Substituting the values we get
[tex]39=2x+19\\2x=20\\\\\therefore x=\dfrac{20}{2}=10\\\\\therefore x=10[/tex]
The Value of x is 10.
