192,049 views
24 votes
24 votes
Please I need help and an explanation :0

Please I need help and an explanation :0-example-1
User Tusk
by
3.0k points

2 Answers

14 votes
14 votes

Angles drawn inside chords and radius hence they are equal

  • 12x+15=3x+78
  • 9x=63
  • x=63/9
  • x=7
User IgorDiy
by
2.8k points
19 votes
19 votes


\qquad\qquad\huge\underline{{\sf Answer}}

According to properties of arc on a circle, angles subtended by an arc on circle at its boundaries are equal to one another.

Hence ~


\qquad \dashrightarrow \tt \: \angle C = \angle W


\qquad \tt \dashrightarrow \:12x + 15 = 3x + 78


\qquad \tt \dashrightarrow \:12x - 3x = 78 - 15


\qquad \tt \dashrightarrow \:9x = 63


\qquad \tt \dashrightarrow \:x = 63 / 9


\qquad \tt \dashrightarrow \:x = 7

Therefore, value of x is 7

User Sam Myers
by
3.0k points