Question

Find the measure of the missing angle.

Answer 1

That is a question about angles.

The first thing that we should to note is that a line do a straight angle. A straight angle is an 180° angle.

So, we can say that the sum of the angle a and the angle of 157° is equal to a straight angle. Let's make and solve a equation:

`a + 157 = 180\\a = 180 - 57\\a = 23`

Therefore, the missing angle is 23°.

I hope I've helped. :D

Enjoy your studies. \o/

Answer 2

23º = x

Explanation:

One straight line is ALWAYS 180º

(called a linear pair)

So your equation is

157º + x = 180

subtract x on both sides

and you get

23º