Question

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

Answer 1

Answer:

108 degrees

Step-by-step 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

$x = \frac{243}{18}$

$x = 13.5$

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