Topics
10. Circles
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United States of AmericaPA
High School Core Standards - Geometry Assessment Anchors

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

CC.2.3.HS.A.8

Apply geometric theorems to verify properties of circles.

G.1.1.1.3

Use chords, tangents, and secants to find missing arc measures or missing segment measures.

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