Given:
A figure of a parallelogram.
The vertex angles are .
To find:
The values of a and b.
Solution:
We know that the pairs of consecutive angles of a parallelogram are supplementary angles. It mean their sum is 180 degrees.
(Supplementary angles)
Subtract 10 from both sides.
Divide both sides by 17.
Now,
And,
(Supplementary angles)
Divide both sides by 2.
Therefore, the value of a is 64 and the value of b is 10.