Respuesta :

You take 90 + 75 = 165 and then 180 - 165 = 15 degrees so that’s your answer

Answer:

∠CED  = 15° .

Step-by-step explanation:

Given : Figure .

To find : What is the measure of ∠CED.

Solution : We have given Two triangle ABC and CDE.

We need to measure of ∠CED.

In triangle CDE , Angle ∠DCE = 90 °.

∠CDE =  75°.

By the angle sum property of the triangle : Sum of all the triangle is  180°.

∠CED + ∠CDE +∠DCE = 180 .

Plug the values

∠CED + 75 + 90 =180 .

∠CED + 165  = 180 .

on subtracting both sides by 165.

∠CED  = 180 - 165 .

∠CED  = 15° .

Therefore, ∠CED  = 15° .