Answer:
1.
2. x = 17
3.
4. × = 19
5. x = 40.5
Step-by-step explanation:
1. The image is not properly cropped
2. As we can see, the angles on item no. 2 is complementary so,
(3x+9) + (2x-4) = 90
Combine like terms
(3x+2x) + (9-4) = 90
5x + 5 = 90
Deduct 5 on both sides
5x + 5 - 5 = 90 - 5
5x = 85
Divide both sides by 5
5x/5 = 85/5
x = 17
3.The image is coverer by the image on item no. 2
4. The given angles lies along the same line. We all know that the sum of all angles that lies along the sime line is 180 because they are supplementary angles. So,
(6x+4) + (4x-14) = 180
combine like terms
(6x+4x) + (4-14) = 180
10x - 10 = 180
Add 10 on both sides
10x - 10 + 10 = 180 + 10
10x = 190
Divide both sides by 10
10x/10 = 190/10
x = 19
5. Just like on the fourth item, the given angles are supplementary. So,
(x+11) + (3x+7) = 180
combine like terms
(x+3x) + (11+7) = 180
4x + 18 = 180
deduct 18 on both side
4x + 18 - 18 = 180 - 18
4x = 162
divide both sides by 4
4x/4 = 162/4
x = 40.5
