B А С T D © 2016 Strong Mind. Created using GeoGebra. In circle T, m AB = (3x + 9° and mCD = (11x – 71). What is the measure of AB? 61° 37° 10° 39°

Question

asked Jul 5, 2021 44.0k views

1 Answer

Robina Li · Answer 1 · 2021-07-10T05:28:19+0000

Answer:

D. 39°

Explanation:

mAB = (3x + 9°)

mCD = (11x – 71)

From the diagram: |AB|=|CD|

Since arcs AB and CD are subtended by a chord of equal length.

mAB=mCD

3x + 9°=11x – 71°

Collect like terms to solve for x

11x-3x=9°+71°

8x=80°

x=10°

Therefore, the measure of AB:

mAB = (3x + 9°)

=3(10)+9

=30+9

=39°

The correct option is D.