Question

An inscribed angle that opens to a diameter has an intersected arc that is a ________________. The angle is a ______ angle because 1/2(180)=90.

Answer 1

An inscribed angle that opens to a diameter has an intersected arc that is 180 degrees. The inscribed angle is a right angle (90 degrees) because

`(1)/(2)(180^o)=90^o`

Explanation:

we know that

The inscribed angle is half that of the arc comprising

Remember that

The diameter divide the circle into two equal parts

so

An inscribed angle that opens to a diameter has an intersected arc that is 180 degrees

The inscribed angle is 90 degrees because

`(1)/(2)(180^o)=90^o`

therefore

An inscribed angle that opens to a diameter has an intersected arc that is 180 degrees. The inscribed angle is a right angle (90 degrees) because

`(1)/(2)(180^o)=90^o`