Weekly Assignment 4 SHOW YOUR WORK 1 Find the measure of eac

Weekly Assignment #4 SHOW YOUR WORK!!! 1. Find the measure of each angle. Name 2. Find the measure of each angle. 14x+23 , SX- 3. Find the measure of each angle. 4. Solve: 7x-(3x + 4) = 4x + 9 + 4x-15

Solution

1) Sum of 8x and 14x + 4 is equal to 180, as sum of angles on a straight line = 180.

8x + 14x + 4 = 180.

Therefore 22x = 176 or x = 8

So the angles are 8*8 = 64 and (14*8) + 4 = 116

2) The angles 14x + 23 and and 18x-5 are equal to each other as they are vertically opposite to each other.

Solving for x, 14x + 23 = 18x - 5;

4x = 28;

x = 7

the angles are 14x + 23 = 121 ( we see that 18x - 5 = 18*7 - 5 = 126-5 = 121)

3) The sum of the angles are = 90. Solving for x;

6x - 2 + 5x - 7 = 90;

11x = 99;

x = 9

The angles are 6x-2 = (6*9) - 2 = 52 and 5x-7 = (5*9) - 7 = 38

4) Given 7x - (3x + 4) = 4x + 9 + 4x -15

7x - 3x - 4 = 8x - 6

8x - 7x + 3x = 6-4

4x = 2

x = 1/2