Question

What is the measure of angle CED?

Answer 1

Angle CED must also measure 60°.
Because angle m is shown to be congruent to angles ABC and CDE, this means that angle m has a measure of 60 degrees.
There can only be 180 degrees in a triangle, so the measure of angle ACB must be 180-60-60, which equals 60 degrees.
Using the Vertical Angles Theorem, the measure of angle ACB is the same as the measure of angle CED.
Therefore, angle CED measures 60°.

Answer 2

`m<CED=m\°`

Explanation:

we know that

Triangles ABC and CDE are similar triangles, because the corresponding angles are congruent

`m<BCA=m<DCE` ------> by vertical angles

`m<ABC=m<CDE` ----> given problem

`m<BAC=m<CED` ----> The sum of the internal angles of the triangle must be equal to
`180` degrees

we have

`m<BAC=m\°`

so

`m<CED=m\°`