Question

Please help and explain I’m very confused thank you

Answer 1

31° = x

Explanation:

According to the Supplementary Angles Theorem, 123° and that acute angle right up against it, form a straight angle, so you do this:

`- 123 + 180 = 57`

Now that the second angle measure is found, according to the Triangular Interior Angles Theorem, the sum of the interior angles of all triangles add up to 180°:

180° = 57° + 92° + x°

|________|

180° = 149° + x°

-149° - 149°

________________

31° = x

I am joyous to assist you anytime.