Use the figure to identify each pair of angles as complementary angles, supplementary angles, vertical angles, or none of these.

The figure shows a vertical line and three points Upper A, Upper P, and Upper E are labeled on it. From the point Upper P, a horizontal ray goes towards right and a point Upper C is labeled on it. A diagonal line also passes through Upper P. Two points, Upper D, and Upper B are shown on this diagonal line such that Upper P is between Upper D, and Upper B. Angle UpperWord APC is a right angle, and is labeled as 2, angle UpperWord CPB is labeled as 1, angle UpperWord BPE is labeled as 5, angle UpperWord EPD is labeled as 4, and angle UpperWord DPA is labeled as 3.

angles 1 and 5
angles 3 and 5
angles 3 and 4

Angle 1 and Angle 5:

complementary angles

Angle 3 and Angle 5:

vertically opposite angles

Angle 3 and Angle 4:

Supplementary angles

comp, vert, then sup

Step-by-step explanation:

Angles 1 and 5 combine to form a 90 degree angle so they are Complementary Angles.

Angles 3 and 5 are on opposite side of the crossed lines and are of equal degree so they are Vertical Angles.

Angles 3 and 4 combine to equal 180 degrees so they are Supplementary Angles.

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°

step-by-step explanation:

what was your answer?