Question

Question #41506

Answer 1

50 degrees

Explanation:

Remember that complementary angles add up to `90` degrees.

Now, let's think of this ratio as a fraction.

`8:10=>8/10=4/5`

We see that the numerator and the denominator of our new fraction add up to `9`.

However, we want the sum of the numerator and the denominator to be `90`, which is 10 times larger than `9`.

Now, we use the fact that `a/b*c/c=a/b` to solve our problem.

`4/5*10/10=>40/50` We see that the numerator and the denominator add up to `90` degrees.

From the angles `40` and `50`, we see that `50` is the larger one.