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5 votes
Determine the measure of ∠UVS.
A) 19.5°
B) 39°
C) 78°
D) 102°

Determine the measure of ∠UVS. A) 19.5° B) 39° C) 78° D) 102°-example-1
User Muffun
by
8.2k points

2 Answers

4 votes

Answer:

(B)
{\angle}UVS=39^(\circ)

Explanation:

Given: A circle with intercepted arc is
78^(\circ).

To find: The measure of ∠UVS.

Solution:

Since, we know that the angle made of the inscribed angle is half of the intercepted arc, therefore


Inscribed angle=(1)/(2)Intercepted arc (1)

We are given that A circle with intercepted arc is
78^(\circ), thus equation (1) becomes:


{\angle}UVS=(1)/(2)arc US


{\angle}UVS=(1)/(2)(78^(\circ))


{\angle}UVS=39^(\circ)

Therefore, option B is correct.

2 votes
The inside angle ( UVS) is equal to 1/2 the outside angle given.

UVS = 1/2(78)

UVS = 39 degrees

The answer is B.
User Jonathan Chang
by
8.2k points