Answered

Westonci.ca connects you with experts who provide insightful answers to your questions. Join us today and start learning! Discover comprehensive answers to your questions from knowledgeable professionals on our user-friendly platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

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

Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.