<1 and <2 are verlical angles. If m<1 =
(5x + 12) and m2 = (6x - 11)", find <1).

m<1 = 127°

Step-by-step explanation:

Vertical Opposite angles are always equal .

So as <1 & <2 are vertically opposite angles ,

m<1 = m<2

It's given that m<1 = 5x + 12 & m<2 = (6x - 11)

So ,

As the value of x = 23 , m<1 = 5x + 12

= 5×23 + 12

= 115 + 12

= 127°

hiking down a winding trail.

step-by-step explanation:

answer: (c) m∠qpo + (2x + 16)° = 180°

step-by-step explanation:

the opposite angles of a quadrilateral are supplementary.

so, ∠o + ∠q = 180°   and   ∠p + ∠r = 180°

since ∠r = 2x + 16°, we can use substitution as follows:

∠p + ∠r = 180°

∠p + (2x + 16)° = 180°