Topics
10. Circles
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Geometry

10.05 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

G.C.A.2

Identify and describe relationships among inscribed angles, radii and chords of circles.

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