Question

Two angles form a linear pair. One angle measures (10x - 63). The other angle measures (8x)". What is the value of the larger

angle?

O 180

O 72

O 135

O 108

Answer 1

108 degrees

Explanation:

Given

Let the angles be A and B

`A = 10x - 63`

`B = 8x`

Required

Find the larger angle

If both angles form linear pair, then the following relationship exist:

`A + B = 180`

Substitute values for A and B

`10x - 63 + 8x = 180`

Collect Like Terms

`10x + 8x = 180 + 63`

`18x = 243`

Solve for x

`x = (243)/(18)`

`x = 13.5`

Substitute 13.5 for x in

`A = 10x - 63`

`B = 8x`

`A= 10 * 13.5 - 63`

`A= 135 - 63`

`A= 72`

`B = 8 * 13.5`

`B = 108`

Hence, the larger angle measures 108