Answered

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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

Sagot :

MrRoyal

Answer:

108 degrees

Step-by-step explanation:

Given

Let the angles be A and B

[tex]A = 10x - 63[/tex]

[tex]B = 8x[/tex]

Required

Find the larger angle

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

[tex]A + B = 180[/tex]

Substitute values for A and B

[tex]10x - 63 + 8x = 180[/tex]

Collect Like Terms

[tex]10x + 8x = 180 + 63[/tex]

[tex]18x = 243[/tex]

Solve for x

[tex]x = \frac{243}{18}[/tex]

[tex]x = 13.5[/tex]

Substitute 13.5 for x in

[tex]A = 10x - 63[/tex]

[tex]B = 8x[/tex]

[tex]A= 10 * 13.5 - 63[/tex]

[tex]A= 135 - 63[/tex]

[tex]A= 72[/tex]

[tex]B = 8 * 13.5[/tex]

[tex]B = 108[/tex]

Hence, the larger angle measures 108

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