# Math Help - angles - equation 2

1. ## angles - equation 2

Write an equation for a in the diagram giving reasons. Solve this equation to find the angles a and B giving reasons.

2. You know that opposite angles are equal to one another. So the angle of the bottom left-hand corner of the paralleogram is also B. Now, since this B and 3a lie on a line, you know that: $3a + B = 180$

Also, you know that adjacent angles of a parallelogram are supplementary (they add up to 180). So you have that $a + 82 + B = 180$

Use these equations to solve for a and B.