In △CDE , CD=10 , DE=7 , and m∠E=62∘ . What is m∠D to the nearest tenth of a degree?

We have been given that in △CDE , CD=10 , DE=7 , and m∠E=62 degrees. We are asked to find the measure of angle D.

We will use law of sines to solve our given problem.

, where, a, b and c are opposite sides to angles A, B and C respectively.

First of all we will find measure of angle C as:

Now we will use arcsin to solve for C as:

Now we will use angle sum property to find measure of angle D.

Therefore, the measure of angle D is approximately .

-7/8

step-by-step explanation:

instead of subtracting you add the -6/8 and -1/8