Question

What is the value of X

Answer 1

B. 8

Explanation:

The sum of all exterior angles of pentagon is equal to 360°. There are such exterior angles: 62°, 66°, 77°, 59°, (12x)°. Thus, the sum

`62^(\circ)+66^(\circ)+77^(\circ)+59^(\circ)+(12x)^(\circ)=360^(\circ),\\ \\264^(\circ)+(12x)^(\circ)=360^(\circ),\\ \\(12x)^(\circ)=360^(\circ)-264^(\circ),\\ \\(12x)^(\circ)=96^(\circ),\\ \\x^(\circ)=8^(\circ).`