Question

Geometry
Show work and if you’re a slow kid then don’t answer

Answer 1

x = 26

Explanation:

Since s║t and r is a transversal, consecutive interior angles add to 180

⇒ 2(x + 15) + (3x + 20) = 180

⇒ 2x + 30 + 3x + 20 = 180

⇒ 5x + 50 = 180

⇒ 5x = 180 - 50

⇒ 5x = 130

⇒ x = 130/5

⇒ x = 26

Answer 2

x=26

Explanation:

Given:

s || t

2(x+15) + (3x+20) = 180°

Since the sum of co interior angle is 180°

Opening bracket

2x + 30 + 3x + 20 =180

Solving like terms

5x+50= 180

subtracting both side by 50

5x=180-50

5x = 130

dividing both side by 5.

`\tt x=(130)/(5)`

x = 26

Therefore value of x is 26.