Question

This angle has its vertex outside the circle and its sides tangent to the circle. Its measure is equal to 180 degrees minus the measure of the central angle that intercepts the same arc.

Question 1 options:

a)

Circumbscribed angle


b)

Inscribed angle


c)

Acute angle


d)

Right angle

Answer 1

a) Circumscribed angle

Explanation:

In geometry, a circumscribed angle is an angle formed by two intersecting tangent lines to a circle. Specifically, if you draw two tangent lines from an external point to a circle, the angle formed between these two tangent lines is known as the circumscribed angle.

A inscribed angle is an angle whose vertex lies on the circumference of a circle, and whose sides are chords of the circle.

An acute angle is an angle that measures less than 90°.

A right angle is an angle that measures exactly 90°.

Therefore, the angle described is a:

`\large\boxed{\sf Circumscribed\;angle}`

Answer 2

a. Circumscribed angle

Explanation:

A circumscribed angle is an angle that has its vertex outside the circle and its sides tangent to the circle. The measure of a circumscribed angle is equal to 180 degrees minus the measure of the central angle that intercepts the same arc.

The other options are not correct.

• inscribed angle is an angle that has its vertex on the circle and its sides intersect the circle.
• An acute angle is an angle that measures less than 90 degrees.
• A right angle is an angle that measures 90 degrees.

So, the answer is a. Circumscribed angle

`\boxed{\green{\textsf{Happy To Help!!!}}}`