Question

Help Asap !Solve For X In The Diagram.

Answer 1

X = 5

Explanation:

suppose that angle TSU is y so

23x+5+y = 180

23x+y = 175

now again in traingle TSU

55+14x-5+y = 180

x = 130-y /14

substitute the value of x in 1st equation

ans will be 5

Answer 2

x = 6.111

Explanation:

The supplement of <AST = 180 - (23x - 5) That supplement is inside the triangle.

Solution

Add the three angles together to get 180

180-(23x - 5) + 14x-5 + 55 = 180 Remove the brackets

180 - 23x + 5 + 14x - 5 + 55 = 180 Combine

-9x + 55 + 180 = 180 Subtract 180 from both sides.

-9x + 55 = 0 Subtract 55 from both sides

-9x = - 55 Divide by -9

x = -55/-9

x = 6.111

Check

180 - (23*6.111 - 5) + 14*6.111 - 5 + 55= 180

180 - 140.555 + 5 + 85.555 -5 + 55 = 180

39.445 + 85.555 + 55 = 180

180 = 180