Question

In a parallelogram ABCD if( 3x-10)=angle b And (2x+1o)= angle c find x

Answer 1

sum of angles of a parallelogram is 360 degrees

the opposite angles are equal

hence
3x -10 and 3 X - 10 and 2 X + 10 and 2 X + 10 are the four angles
(3 X - 10)+(3x-10)+(2x+10)+(2x+10)=360

6 x - 20 + 4 x + 20 = 360

x=36

Answer 2

Given:

• ∠A = 3x-10
• ∠C = 2x+10

To Find:

• Find the value of x.

Solution:

• First draw a parallelogram ABCD.
• ∠B+∠C = 180° ( Beacuse adjascent angles of a parallelogram are supplementary)
• Substitute the given values in the above formula.
• We get,
• ∴(3x-10)+(2x+10) = 180°
• Removing the brackets,
• 3x-10+2x+10=180°
• Adding up the like terms and cancellation of terms of opposite signs.
• We get,
• 5x = 180°
• x = 180°/5
• x = 36

∴The value of 'x' = 36.