Find the measure for one interior angle of a pentagon TI
2. Draw a segment from B to D and apply the linear pair to solve for ZABD)
Lesson Performance Task
You've been asked to design the board for a new game called Pentagons. The board consists
of a repeating pattern of regular pentagons, a portion of which is shown in tlle illustration.
When you write the specifications for the company that will make the board, you include the
measurements of ZBAD, ZABC, ZBCD and ZADC. Find the measures of those angles and
explain how you found them.
D

could

step-by-step explanation:

u send me a picture of ur work

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq

yes

step-by-step explanation:

they have to be opposite and reciprocal of eachother.