Topics
12. Circles
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United States of AmericaUT
Math II

12.05 Angles from intersecting chords, secants, and tangents

Lesson
Practice

Interactive practice questions

Find the value of $x$x.

A circle is divided into four unequal sections by two intersecting chords. The location of the intersection point is not specified. The intersecting chords divide the circle's circumference into four unequal arcs. Two arcs are highlighted. The left arc, colored green, is $154^\circ$154°. The right arc, colored orange, is $52^\circ$52°. The other two arcs opposite each other are colored black and are not labeled. An angle at the intersection measures $\left(x\right)$(x) and intercepts the green arc. The vertical angle to the angle measuring $\left(x\right)$(x) and intercepts the orange arc, is not labeled.
Easy
1min

Find the value of $x$x.

Easy
1min

In the diagram of $\bigodot D$⊙D, $\overline{IH}$IH is tangent to the circle at point $H$H and $\overline{IE}$IE is tangent to the circle at point $E$E.

Easy
1min

Find the value of $x$x.

Medium
1min
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Outcomes

II.G.C.2

Identify and describe relationships among inscribed angles, radii, and chords. Include the relationship between central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle.

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