Secants and Chord Angles and Lengths

https://www.youtube.com/watch?v=D7VGaOOQDGY

View this video to discover how to find an angle inside a circle that is formed by chords.

The measure of an angle formed by two secant lines that intersect inside a circle is _______ the sum of the measures of the intercepted arcs.

Find the measure of arc WZ. Which is incorrect?

• 107 = ½(74 + WZ)

• 107 = ½(74) + ½WZ

• 2(107 - 37) = WZ

• WZ = 140

• None of these

Find the measure of angle ABD.

• 14
• 51
• 37
• 65

Tags

CCSS.7.G.B.5

https://www.youtube.com/watch?v=eq1G7AWsTY8

View this quiz for examples on how to find the measure of an angle formed outside a circle by secants and/or tangents

The measure of an angle formed by two lines that intersect outside a circle is half the ______________ of the measures of the intercepted arcs.

What is 𝙢∠𝘼𝘽𝘿? Which step is incorrect?

• Find arc CA: 360 - (139 +151)

• arc CA = 70

• 𝙢∠𝘼𝘽𝘿 = ½( AD - AC)

• 𝙢∠𝘼𝘽𝘿 = ½( AC - AD)

• 𝙢∠𝘼𝘽𝘿 = 40.5

What is the measure of arc LM? Which step is incorrect?

• ∠LJM = ½(LM - KN)

• 34 = ½(6x + 6 - (3x - 5))

• 34 = ½ (3x + 1)

• x = 19

• arc LM = 6 (19) + 6 = 120

What is the measure of angle 2?

• 80
• 45
• 125
• 40

Tags

CCSS.7.G.B.5

Find the value of x.

• 15

• 18

• 21

• 24

Tags

CCSS.7.EE.B.3

CCSS.7.EE.B.4

CCSS.7.G.B.5