Answered

Welcome to Westonci.ca, where you can find answers to all your questions from a community of experienced professionals. Discover the answers you need from a community of experts ready to help you with their knowledge and experience in various fields. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

The largest angle of a triangle is 3 times as big as the smallest angle. The third angle is 15 degrees more than the smallest angle. Find the measure of all three angles.

Sagot :

bosm93

Answer:

A = 99, B = 33, C = 48

Step-by-step explanation:

A = 3B

B + 15 = C

A+B+C = 180

3B + B + B + 15 = 180

5B = 165

B = 33

Answer:

33°, 48°, 99°

Step-by-step explanation:

let the smallest angle be x then the other 2 angles are 3x and x + 15

The sum of the 3 angles in a triangle = 180°

Sum the 3 angles and equate to 180

x + 3x + x + 15 = 180 , that is

5x + 15 = 180 ( subtract 15 from both sides )

5x = 165 ( divide both sides by 5 )

x = 33

x + 15 = 33 + 15 = 48

3x = 3 × 33 = 99

The 3 angles are 33°, 48°, 99°

Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.