Question

Two opposite angles of a parallelogram are (3x- 2)º and (46 -x)º.find the measure of each angle of a

parallelogram​

Answer 1

Answer :-

Given :-

• Opposite angles of parallelogram are ( 3x - 2 )° and ( 46 - x )°

To Find :-

• All angles of parallelogram

Solution :-

We know that,

Opposite angles of parallelogram are equal.

So,

→ 3x - 2 = 46 - x

→ 3x + x = 46 + 2

→ 4x = 48

→ x = 48 / 4

→ x = 12

Angles = 46 - x = 46 - 12 = 34°

Two opposite angles of parallelogram = 34°

Now, let the adjacent angle to the given angles be y.

We know that,

Adjacent angles of parallelogram sums up to 180°.

→ y + 46 - x = 180

→ y + 34 = 180

→ y = 180 - 34

→ y = 146

Angles of parallelogram = 34° , 146° , 34° and 146°.