Question

What is the value of a + b+c? you may assume that the ray is tangent to the circle?a. 86b.150c.133d.47

Answer 1

c. 133°

Explanation:

We have that there is a chord that divides the circle in two equal parts because it passes through the middle of the circle. Since it is half of the circle, the arc is 180°, we can see that this arc is the sum of the angles a + b, this angle must measure half of 180°, therefore:

`a\degree+b\degree=(180\degree)/(2)=90\degree`

Now the angle c° must measure half of the 86° arc, therefore:

`\begin{gathered} c\degree=(86\degree)/(2)=43\degree \\ \end{gathered}`

That means that a° + b° + c° is equal to:

`a°+b°+c°=90+43=133\degree`

Therefore, the correct answer is c. 133°