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
Now CD || BA .......opposite sides of Parallelogram is parallel
.........Alternate Angles are equal
Substituting the values we get

The Value of x is 10.
The 3 angles of a triangle, when added, = 180 degrees
so if 2 of them are 70.....70 + 70 = 140
then the 3rd will be 180 - 140 = 40 degrees <==