Question

One pair of opposite angles of a parallelogram are (3x-15)° and (2x+10)° then the angles are ------ and ------ .​

Answer 1

Answer :-

One pair of opposite angles of a parallelogram are (3x-15)° and (2x+10)° then the angles are 60° and 60°.

Step-by-step explanation :-

To Find,

• The measure of both opposite angles of parallelogram

Solution,

Given that,

• The pair of opposite angles of parallelogram are :-
• » ( 3x - 15 )°
• » ( 2x + 10 )°

As we know that,

Opposite angles of parallelogram are equal,

Therefore,

( 3x - 15 )° = ( 2x + 10 )°

» 3x - 15 = 2x + 10

» 3x - 2x = 10 + 15

» x = 25

The value of x is 25.

Now, the opposite angles of parallelogram are :-

• 3x - 15 °

» 3x - 15

» 3 × 25 - 15

» 75 - 15

» 60°

Therefore, the opposite angles of parallelogram are :- 60° and 60°, as opposite angles of parallelogram are equal.