Question

If the measure of arc AD is 65 degrees and the measure of arc BC is 45 degrees, what is the measure of angle BEC?

Answer 1

`\angle BEC=55 \textdegree)`

Explanation:

From the question we are told that:

Arc
`AD =65 \textdegree`

Arc
`BC =45 \textdegree`

Given The angle of intersecting chords theorem

Generally the equation for angle BEC is mathematically given by

`\angle BEC=(1)/(2) (\angle of arc AD+\angle of arc BC)`

`\angle BEC=(1)/(2) (65 \textdegree+45 \textdegree)`

`\angle BEC=55 \textdegree)`