Two adjacent angles of a parallelogram are as `2: 3.` Find the measures of all the angles.

Explanation

Given:
Two adjacent angles of a parallelogram are as `2: 3.`
Let the two adjacent angles be `2x` and `3x`.
As we know in parallelogram the sum of adjacent angles is equal to `180^@`.
`therefore 2x+3x=180^@`
`5x=180^@`
`x=180^@/5`
`x=36^@`
The measure of angles are,
`2x=2times36^@=72^@`
`3x=3times36^@=108^@`
Hence, the measure of adjacent angles are `72^@` and `108^@`.