Question

HELPPP
What is the value of T ?

Answer 1

30t+20=60
30t=40
t=1.3333

Answer 2

`t=(4)/(3) \\\\t=1.333333333333333....\\\\t=1(1)/(3)`

Explanation:

A triangle's angles are always 180° total degrees.

The given triangle has the three little marks showing that the lengths are the same, so this means that the angles are also congruent. That means that the triangle is an equilateral triangle.

Set an equation where the given angle of F represents every angle and whose sum is 180°:

`(30t+20)+(30t+20)+(30t+20)=180\\\\3(30t+20)=180`

Solve for t. Use the distributive property:

`90t+60=180`

Work to isolate the variable. Use inverse operations to cancel out the 60. Subtract 60 from both sides:

`90t+60-60=180-60\\\\90t=120`

Use inverse operations to isolate t. Divide both sides by 90:

`(90t)/(90) =(120)/(90) \\\\t=(4)/(3)`

The value of t is
`(4)/(3)`.

:Done