Question

The figure below shows a circle with center A, diameter IP, and tangents SL, PL, and IC. Which of the angles must be right angles? Select all that apply.

Answer 1

• 
  `\angle ASC` ,
  `\angle AIC` and
  `\angle APL`

Explanation:

To find:-

• Which angles would be 90⁰ .

Answer:-

We are here given that, SL , PL and IC are tangents . Tangents are lines which touch the circle at only one point. Also , there is a Theorem, which is ,

Theorem:-

• A tangent to a circle is perpendicular to the radius at the point of contact .

From this , we can say that the angles,

`\angle ASC` ,
`\angle AIC` and
`\angle APL` are right angles .

Answer 2

ASC, AIC, APL

Explanation:

Tangents make right angles with the center of the circle, so any point angle starting a the center leading to the tangent will be a right angle