Pre-Calculus Homework Solutions 239

Pre-Calculus Homework Solutions 239 - 37. The sum of the...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
241 Chapter 8 31. Since n 5 10, the sum of the measures of the interior angles is 180(10 2 2) or 1440. The sum of the given measures is 10 x 1 440. Find x . 1440 5 10 x 1 440 1000 5 10 x 100 5 x The measures of the interior angles of the decagon are 105, 110, 120, 130, 135, 140, 160, 170, 180, and 190. 32. Since n 5 5, the sum of the measures of the interior angles is 180(5 2 2) or 540. Write an equation to express the sum of the measures of the interior angles of the polygon. 540 5 m / A 1 m / B 1 m / C 1 m / D 1 m / E 540 5 6 x 1 (4 x 1 13) 1 ( x 1 9) 1 (2 x 2 8) 1 (4 x 2 1) 540 5 17 x 1 13 527 5 17 x 31 5 x Use the value of x to find the measure of each angle. m / A 5 6 ? 31 or 186, m / B 5 4 ? 31 1 13 or 137, m / C 5 31 1 9 or 40, m / D 5 2 ? 31 2 8 or 54, and m / E 5 4 ? 31 2 1 or 123. 33. Sample answer: Since n 5 4, the sum of the measures of the interior angles is 180(4 2 2) or 360. Write an equation to express the sum of the measures of the interior angles of the quadrilateral. 360
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.
Ask a homework question - tutors are online