Question

an angle measures ((2x + 11)^circ).
part a. what is the measure of an angle that is vertical to the given angle?
part b. write an expression to represent the measure of an angle supplementary to the given angle.
enter the correct answers in the boxes.
show hints
a. (\boxed{2x + 11}) (circ)
b. (\boxed{}) (circ)

Explanation:

Step1: Recall vertical angles property

Vertical angles are congruent (equal in measure).

Step2: Identify vertical angle measure

The given angle is $(2x+11)^\circ$, so its vertical angle has the same measure.

Step3: Recall supplementary angles definition

Supplementary angles sum to $180^\circ$.

Step4: Derive supplementary angle expression

Subtract the given angle from $180^\circ$:
$180 - (2x + 11) = 180 - 2x - 11 = 169 - 2x$

Answer:

A. $(2x + 11)^\circ$
B. $(169 - 2x)^\circ$