Question

Two adjacent angles of a parallelogram are (3x+20) degree and (2x+10) degree, then the value of x is ​

Answer 1

Given

The adjacent angles of a Parallelogram are (3x+20)° and (2x+10)°

To Find

value of x

$\sf\huge\bold{\underline{\underline{{Solution}}}}$

★ The two adjacent angles of a parallelogram makes the sum of 180°.

Now, (3x+20)°+ (2x+10)°=180°

=> 3x+20+2x+10=180

=>5x+30=180

=>5x=150

=>x=150/5=30

x=30°

Finding the adjacent angles

=>3x+20

=>3×30+20= 90+20= 110°

=>2x+10=2×30+10= 60+10= 70°

Therefore,the two adjacent angles of a Parallelogram are 110° & 70°

Extra information=>

• A parallelogram is a quadrilateral having opposite sides parallel.
• The opposite angles are also equal.
• Diagonals of parallelogram bisects it into two equal congruent triangles
• The sum of square of all the sides is equal to the square of the Diagonals (Parallelogram law)