Question

Can anyone help me and explain how to do the problems in the picture attached :]

Answer 1

see explanation

Explanation:

You can find the sum of all interior angles of any convex shape with one simple equation: 180(n-2) , where n= number of sides of shape.

With a triangle, 180(3-2) simplified to, 180(1), with the answer being 180.

All the angles of a triangle add up to 180°

Lets look at first problem.

2x + 2x + x

set it equal to 180

2x + 2x + x = 180 (Combine like terms)

5x = 180 (Divide by 5, both sides)

x = 36

Next one,

7x + 3x + 90 = 180

10x + 90 = 180

10x = 90

x = 9

Last one,

2x + x + x = 180

4x = 180

x = 45

Answer 2

14. x = 36°

15. x = 9°

16. x = 45°

Explanation:

14. The sum of the interior angles in a triangle is 180°. This means that 2x + 2x + x = 180°. This can be simplified to 5x = 180°. If we divide both sides by 5, we find that x = 36°

15. Using the same approach, the sum of the interior angles in a triangle is 180°. This means that 7x + 3x + 90° (the right angle) = 180°. Next, we can subtract 90° form both sides to get 7x + 3x = 90°. If we simplify the left side, we get 10x = 90. Finally, we can divide both sides by 10 to find that x = 9°

16. Using the same approach, the sum of the interior angles in a triangle is 180°. This means that 2x + x + x = 180°. This simplified is 4x = 180. If we divide both sides by 4, we get x = 45°

Hope this helps!