In a parallelogram `A B C D ,\ /_D=115^0,` determine the measure of `/_A\ a n d\ /_Bdot`

Explanation

Given: In a parallelogram `A B C D ,\ /_D=115^@,`determine the measure of `/_A\ a n d\ /_B`.
As we know the sum of any two consecutive angles of a parallelogram is `180^2`.
`therefore∠A+∠D=180^@` and `∠A+∠B=180^@`
Now,
`∠A+∠D=180^@`
`∠A+115^@=180^@`
`/_A=180^@-115^@`
`∠A=65^@`
Now,
`∠A+∠B=180^@`
`65^@+∠B=180^@`
`/_B=180^@-65^@`
`∠B=115^@`
Hence, `/_A=65^@` and `/_B=115^@`.