Looking for trustworthy answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

In triangle ABC, m∠A=(x+6)∘, m∠B=(2x+5)∘, and m∠C=(2x−6)∘.
What is the measure of angle A?

35 degrees

41 degrees

75 degrees

64 degrees


Sagot :

Answer:

hence <A =41°

Step-by-step explanation:

[tex]x + 6 + 2x + 5 + 2x - 6 = 180 \\ (sum \: of \: inside \: the \: triangle \: is \: 180) \\ 5x + 5 = 180 \\ 5x = 180 - 5 \\ x = \frac{175}{5 } \\ x = 35 \\ now \: putting \: the \: value \: of \: x \: in \: ange \: a \\ < a = x + 6 \\ < a = 35 + 6 \\ < a = 41[/tex]

Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.