Explore Westonci.ca, the leading Q&A site where experts provide accurate and helpful answers to all your questions. Experience the ease of finding reliable answers to your questions from a vast community of knowledgeable experts. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.
Sagot :
Answer:
A: 19.7º B: 78.8º C: 81.5º
Step-by-step explanation:
The trouble with problems like this is usually just getting started.
Hint: look at the descriptions of the angle measures and see if one of the angles is mentioned twice. It's angle A. Pick a variable for the measure of that angle, say a.
Angle B: "4 times the measure of angle A" becomes 4a
Angle C: "17 less than 5 times the measure of angle A" becomes 5a - 17
Now use the fact that relates all three angles: the sum of the measures of any triangle's angles is 180 degrees.
a + 4a + (5a - 17) = 180
Combine like terms.
10a - 17 = 180
Add 17.
10a = 197
Divide by 10.
a = 19.7 degrees
Try not to panic because the answer is not a whole number!
Plug this into the expressions for the other angles.
B: 4(19.7) = 78.8 degrees
C: 5(19.7) - 17 = 81.5 degrees
Check: 19.7 + 78.8 + 81.5 = 180
Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.