Triangular algebra
Weekly Problem 26 - 2017
The angles in the triangle are shown in the diagram in terms of x and y. If x and y are positive integers, what is the value of x+y?
The angles in the triangle are shown in the diagram in terms of x and y. If x and y are positive integers, what is the value of x+y?
Age
14 to 16
Challenge level
Problem
Image
The interior angles of a triangle are $\left(5x+3y\right)^\circ$, $\left(10y+30\right)^\circ$ and $\left(3x+20\right)^\circ$, where $x$ and $y$ are positive integers.
What is the value of $x+y$?
If you liked this problem, here is an NRICH task that challenges you to use similar mathematical ideas.
Student Solutions
Answer: $15$
but $x$ shouldn't be $0$