Answer:
Explanation:
Let's call the two angles in the ratio of 4:13 "x" and "y".
We know that the sum of all three angles in a triangle is always 180 degrees.
So, we can set up an equation:
10 + x + y = 180
We also know that x and y are in a ratio of 4:13, which means we can write:
x = 4k
y = 13k
where "k" is a constant that we need to find.
Substituting these expressions for x and y into the equation, we get:
10 + 4k + 13k = 180
17k = 170
k = 10
Now we can find the values of x and y:
x = 4k = 4(10) = 40
y = 13k = 13(10) = 130
Therefore, the measures of the two angles in the ratio of 4:13 are 40 degrees and 130 degrees, respectively.