Question

27 / 86 Marks

The diagram shows a parallelogram.
2x
3x - 15
2x
2x + 24
Work out the value of x.

Answer 1

x = 39

Explanation:

The opposite angles of a parallelogram are congruent , so

3x - 15 = 2x + 24 ( subtract 2x from both sides )

x - 15 = 24 ( add 15 to both sides )

x = 39

Answer 2

We have: 3x - 15 = 2x + 24
3x - 2x = 24 + 15
X = 39