Question

Points AA and BB lie on circle CC, and point DD lies on the major arc formed by AA and BB. The measure of AB⌢AB⌢ is 68°68°. What is the measure of ADB⌢ADB⌢?

Answer 1

The measure of arc ADB is 292°.

Explanation:

Given information: Arc(AB)=68°

Points A and B lie on circle C, and point D lies on the major arc formed by A and B.

It means point A and D divides the circle C in two parts.

Arc(AB) = Minor arc by A and B.

Arc(ADB) = Major arc by A and B.

If two points lie on a circle, then

`\text{Major arc + Minor arc}=180^(\circ)`

In circle C,

`Arc(ADB)+Arc(AB)=360^(\circ)`

`Arc(ADB)+68^(\circ)=360^(\circ)`

`Arc(ADB)=360^(\circ)-68^(\circ)`

`Arc(ADB)=292^(\circ)`

Therefore the measure of arc ADB is 292°.