Question

measure of opposite angles of a parallelogram are 3x-2 and 62-x find the measure of its each angle​

Answer 1

Answer:

Measure of pair of opposite angle is 46° and other pair's measure is 134°of the parallelogram.

Step-by-step explanation:

Given:

Measures of opposite angles of a parallelogram  are ( 3x - 2 ) and ( 62 - x )

As we know from the property of parallelogram that opposite angles of a parallelogram are equal.

So,

( 3x - 2) = ( 62 - x)

Taking variable to L.H.S and constant to R.H.S

3x + x = 62 + 2

  4x = 64

   x = 64 / 4

   x = 16

Measure of one angle = (3x - 2 )= 3 × 16 - 2 =46°

Measure of opposite angle = ( 62 - x) = 62 - 16 = 46°

We also know that ,

Same side interior angles of a parallelogram  are supplementary.

So, measure of  third angle = 180° - 46°=134°