Question

A triangle with exterior angles is shown. The bottom right angle of the triangle is (3 h + 18) degrees. The bottom right exterior angle is (15 h) degrees. What is the value of h? H = 1.5 h = 9 h = 10 h = 13.5

Answer 1

The value of h would be 9

Explanation:

The problem is asking us to find the value of h. To do that we must first set up an equation. Since we know that these are same side exterior angles, we know that the equation must be set up to equal 180.

The equation will be set up like this

`3h+18+15h=180`

The next thing we must do is to add like terms, which will give us this equation

`18h+18=180`

Then, we must subtract 18 from both sides since in the equation we are adding 18 and we must do the opposite, which is subtraction. Which will give us this

`(18h)/(18) =(162)/(18)`

Then we divided 18 on both sides which will give us our solution

`h=9`

Answer 2

h = 9

Explanation:

• by seeing the triangle diagram in the attachment, we can say that the angles ,(3 h + 18) degrees and (15 h) degrees are supplementary i.e, their sum will be 180 degrees.

• so, (3 h + 18) + (15 h)= 180

18h+18=180

dividing both the sides by 18,

h+1=10

subtracting both the sides by 1,

h=9.