What is the measure of ∠x

∠x = 63°

Step-by-step explanation:

The exterior angle added with the measure of ∠BAC will equal 180, since they will form a straight line, so we can calculate the measure of ∠BAC:

128 + x = 180

x = 52

∠BAC = 52°

The angles in a triangle all add up to 180°, so we can set up another equation to find x:

52 + 65 + x = 180

117 + x = 180

∠x = 63°

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°

i believe it's a.

i'm not sure on this one, most likely correct.