In circle Y, what is the measure of arc T U? 59° 67° 71° 118°
Answers
we have to find the measure of arc TU
solution : angles of intersecting chords theorem : when two chords intersect at a point inside the circle, the measure of angel formed by these two chords is half of sum of chords’ intersected arcs.
see figure, chords AD and BC intersect at P and angle formed by chords is x
then, x = 1/2 [arc AB + arc CD ]
now come to the question,
we have given, angle formed by chords , x = 63°
arc RS = 55° and arc TU = ?
from theorem,
63° = 1/2 [55° + arc TU ]
⇒63° × 2 = 55° + arc TU
⇒126° - 55° = arc TU
⇒arc TU = 71°
Therefore the measure of arc TU is 71°
also read similar questions : Line segment XY is tangent to circle Z at point U. Circle Z is shown. Line segment U V is a secant. Line segment X Y is ...
https://brainly.in/question/14614927
In a circle with centre o, the measure of
a minor arc is 110°. What is the measure of
major arc?
https://brainly.in/question/38666227
Answer:
Hlw above ans is correct
Step-by-step explanation:
He is in brainly teacher rank