32.5k views
5 votes
Find the value of x in the picture please

Find the value of x in the picture please-example-1
User Symfrog
by
7.6k points

1 Answer

3 votes

Answer:

Option D 74°

Explanation:

we know that

The measurement of the outer angle is the semi-difference of the arcs it encompasses.

so

The arcs that the outer angle encompasses are

254° and (360-254)=106°

therefore

∠x=(1/2)[254°-106°]

∠x=(1/2)[148°]

∠x=74°

User Esylvestre
by
8.9k points