Answer:
x = 55 degrees
Explanation:
Firstly, as told by the question, we know that this is an isosceles triangle because AB and BC are the same length. This means that angle A and C will be equal. Next, we also know that all angles in a triangle will always add to 180 degrees. Therefore we can write an equation adding up all the angles to solve for x:
Angle A can be represented as 'x'
Angle B is represented 'x+15'
And Angle C can also be represented 'x' as it is equal to angle A
So our formula will be in this format: A+B+C=180
x+x+(x+15)=180
To solve this equation we first take out the brackets and combine like terms:
3x+15=180
Now we need to isolate 'x' so we will end up with a numerical value for it, which we do by subtracting 15 from both sides and then dividing both sides by 3:
3x+15-15=180-15
3x=165
3x/3=165/3
This gives us:
x=55
Hope this helped!