Question

I need help with this, please

Answer 1

Here's the solution,

the angles made by same arc on circle's circumference are equal.

So, Angle O = Angle P

( Angles made by arc NM )

=》

`5x - 37 = 3x + 1`

=》

`5x - 3x = 1 + 37`

=》

`2x = 38`

=》

`x = 19`

now, value of angle at circumference :

=》

`3x + 1`

=》

`(3 * 19) + 1`

=》

`57 + 1`

=》

`58`

and, we know that the angle made by an arc at center is double the angle made by same arc on its circumference,

so, measure of Arc NM

=》

`58 * 2`

=》

`116°`