Eli05
Answered

Westonci.ca offers quick and accurate answers to your questions. Join our community and get the insights you need today. Get immediate and reliable answers to your questions from a community of experienced experts on our platform. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is five times the measure of the first angle. The third angle is 20 more than the second. Let x, y, and z represent the measures of the first, second, and third angles, respectively. Find the measures of the three angles

Sagot :

Answer:x+y+z=180

Since y+z=5x, x+5x=180, so x=30

So,

30+y+z=180

y+z=150

Since z=y+24, y+y+24=150

2y=126

y=63

30+63+z=180

z=87

So x=30, y=63, z=87

Step-by-step explanation: