Question

Find x

Need gelppppppppppp

Answer 1

The Value of x is 10.

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

`\angle ABC+\angle BCA+\angle CAB=180\\\\98+43+\angle CAB=180\\\therefore m\angle CAB =180-141=39\°`

Now CD || BA .......opposite sides of Parallelogram is parallel

`\angle CAB=\angle ACD`.........Alternate Angles are equal

Substituting the values we get

`39=2x+19\\2x=20\\\\\therefore x=(20)/(2)=10\\\\\therefore x=10`

The Value of x is 10.