The measure of [tex]\angle Y[/tex] is [tex]\boxed{\angle Y = {{43}^ \circ }}[/tex]. Option (a) is correct.
Further explanation:
The angle subtended by an arc at center is double of the angle subtended by the arc at any point on the circle.
Given:
The options are as follows,
(a). [tex]\angle Y = {{43}^ \circ[/tex]
(b). [tex]\angle Y = {{68}^ \circ[/tex]
(c). [tex]\angle Y = {{86}^ \circ[/tex]
(d). [tex]\angle Y = {{172}^ \circ[/tex]
Explanation:
The central angle of the circle is [tex]{86^ \circ }.[/tex]
The [tex]\angle Y[/tex] can be obtained as follows,
[tex]\begin{aligned}\angle Y&= \frac{1}{2} \times {86^ \circ }\\&= \frac{{{{86}^ \circ }}}{2}\\&= {43^ \circ }\\\end{aligned}[/tex]
The measure of [tex]\angle Y[/tex] is [tex]\boxed{\angle Y = {{43}^ \circ }}[/tex]. Option (a) is correct.
Option (a) is correct.
Option (b) isnot correct.
Option (c) is not correct.
Option (d) is not correct.
Learn more:
- Learn more about inverse of the functionhttps://brainly.com/question/1632445.
- Learn more about equation of circle brainly.com/question/1506955.
- Learn more about range and domain of the function https://brainly.com/question/3412497.
Answer details:
Grade: High School
Subject: Mathematics
Chapter: Polynomial
Keywords: angle, measure of Y, 43 degree, measure, arc, half, double, inscribed, subtended angle, central angle.
