Quadrilateral OPQR is inscribed in circle N, as shown below. Which of the following could be used to calculate the measure of ∠P

Question

3 years ago

7

Quadrilateral OPQR is inscribed in circle N, as shown below. Which of the following could be used to calculate the measure of ∠P

QR? (6 points) Circle N is shown with a quadrilateral OPQR inscribed inside it. Angle O is labeled x plus 16. Angle P is not labeled. Angle Q Select one: a. (6x − 4)° + (2x + 16)° = 180° b. (x + 16)° + (6x − 4)° = 180° c. (6x − 4)° + (2x + 16)° = 360° d. (x + 16)° + (6x − 4)° = 360°

Mathematics

2 answers:

andrey2020 [161] · Answer 1 · 2022-04-01T00:41:31+03:00

Answer:

b. (x + 16)° + (6x − 4)° = 180°

Step-by-step explanation:

As we know that in a quadilateral the total of the opposite angles in a circle is equivalent to the 180 degrees

As seen in the attached figure

∠ROP + ∠RQP = 180 degrees

So

(x + 16)° + (6x - 4)° = 180 degrees

Hence, the correct option is b.

Therefore all the other options which are given is incorrect

Step2247 [10] · Answer 2 · 2022-04-01T02:16:32+03:00

Step2247 [10]3 years ago

4 0

Answer:

B: (x + 16)° + (6x − 4)° = 360°

Step-by-step explanation:

I took the test and got it correct.