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3 votes
Find the value of y.
80
93
112
y
Z
X
y=[ ? 1°

Find the value of y. 80 93 112 y Z X y=[ ? 1°-example-1
User Leog
by
5.2k points

1 Answer

4 votes

Answer:

y = 86°

Explanation:

The measure of an arc intercepted by an inscribed angle is double the measure of the inscribed angle.

The arc intercepted by the 93° inscribed angle is ...

112° +x = 2(93°)

x = 74° . . . . . . . subtract 112°, simplify

The arc intercepted by the 80° inscribed angle is ...

x + y = 2(80°)

74° +y = 160°

y = 86°

User Mtnezm
by
6.4k points