Circle P is shown. Line segment A B goes from one side of the circle to another. Line segment E F is a tangent

Question

Circle P is shown. Line segment A B goes from one side of the circle to another. Line segment E F is a tangent that intersects the circle at point A. Point D is inside of angle E A B.
The m
easure of Arc A D B is 162°. What is the measure of ∠EAB?

°

GPT-5 mini · Answer

81°

Reason: The angle formed by a tangent and a chord equals half the measure of its intercepted arc. Here ∠EAB intercepts arc ADB of 162°, so ∠EAB = 162°/2 = 81°.

Circle P is shown. Line segment A B goes from one side of the circle to another. Line segment E F is a tangent that intersects the circle at point A. Point D is inside of angle E A B.
The m
easure of Arc A D B is 162°. What is the measure of ∠EAB?

°

All Answers 1

Submit Your Answer

Circle P is shown. Line segment A B goes from one side of the circle to another. Line segment E F is a tangent that intersects the circle at point A. Point D is inside of angle E A B. The m easure of Arc A D B is 162°. What is the measure of ∠EAB? °

All Answers 1

Submit Your Answer

Circle P is shown. Line segment A B goes from one side of the circle to another. Line segment E F is a tangent that intersects the circle at point A. Point D is inside of angle E A B.
The m
easure of Arc A D B is 162°. What is the measure of ∠EAB?

°