Answered

Discover answers to your most pressing questions at Westonci.ca, the ultimate Q&A platform that connects you with expert solutions. Connect with a community of experts ready to help you find solutions to your questions quickly and accurately. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

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

Thank you for choosing our service. We're dedicated to providing the best answers for all your questions. Visit us again. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.