I suck at word problems :(

Question

a builder wants to install a triangular window with the second and third angle which measure 30 degrees more than the first angle measure. What are the measurements of the angles he will have to cut?

Answer 1

Jasmin,

 

First of all we have to decipher the wording.  There are 3 angles in a triangle and "the second and third angle which measure 30 degrees more than the first angle."  Although this isn't completely clear, we can assume that it means there are two equal angles (the second and third) which each measure 30 degrees more than the first.  This is an isosceles triangle.

 

Let the measure of the first angle be x

Then the measure of the second and the third is x+30

 

The sum of the angles=x+(x+30)+(x+30)=3x+60

 

We also know the sum of interior angles of a triangle is 180 degrees

 

So 3x+60=180

3x=120

x=40.

 

Therefore the measures of the angles are 40, 70 and 70

Answer 2

Assuming each is 30° more than the first:

 

first angle = f

second angle = f + 30

third angle = f + 30

 

The angles of a triangle add to 180°

 

f + f + 30 + f + 30 = 180

3f + 60 = 180

3f = 120

f = 40

f + 30 = 70