over lesson 10–3 5-minute check 1 a.60 b.70 c.80 d.90
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Over Lesson 10–3
A. 60
B. 70
C. 80
D. 90
Over Lesson 10–3
A. 40
B. 45
C. 50
D. 55
Over Lesson 10–3
A. 40
B. 45
C. 50
D. 55
Over Lesson 10–3
A. 40
B. 30
C. 25
D. 22.5
Over Lesson 10–3
A. 24.6
B. 26.8
C. 28.4
D. 30.2
You found measures of interior angles of polygons.
• Find measures of inscribed angles.
• Find measures of angles of inscribed polygons.
central angleInscribed
angle
B
C
A
D
Use Inscribed Angles to Find Measures
A. Find mX.
Answer: mX = 43
Use Inscribed Angles to Find Measures
B.
= 2(52) or 104
A. 47
B. 54
C. 94
D. 188
A. Find mC.
A. 47
B. 64
C. 94
D. 96
B.
Use Inscribed Angles to Find Measures
ALGEBRA Find mR.
R S R and S both intercept . mR mS Definition of congruent angles
12x – 13 = 9x + 2 Substitutionx = 5 Simplify.
Answer: So, mR = 12(5) – 13 or 47.
A. 4
B. 25
C. 41
D. 49
ALGEBRA Find mI.
Find Angle Measures in Inscribed Triangles
ALGEBRA Find mB.
ΔABC is a right triangle because C inscribes a semicircle.
mA + mB + mC = 180 Angle Sum Theorem(x + 4) + (8x – 4) + 90 = 180 Substitution
9x + 90 = 180 Simplify.9x = 90 Subtract 90 from each
side.x = 10 Divide each side by 9.
Answer: So, mB = 8(10) – 4 or 76.
A. 8
B. 16
C. 22
D. 28
ALGEBRA Find mD.
Find Angle Measures
INSIGNIAS An insignia is an emblem that signifies rank, achievement, membership, and so on. The insignia shown is a quadrilateral inscribed in a circle. Find mS and mT.
Find Angle Measures
Since TSUV is inscribed in a circle, opposite angles are supplementary.
mS + mV = 180 mU + mT = 180 mS + 90 = 180 (14x) + (8x + 4) = 180
mS = 90 22x + 4 = 18022x = 176
x = 8Answer: So, mS = 90 and mT = 8(8) + 4 or 68.
A. 48
B. 36
C. 32
D. 28
INSIGNIAS An insignia is an emblem that signifies rank, achievement, membership, and so on. The insignia shown is a quadrilateral inscribed in a circle. Find mN.
Homework: Finish the treasure hunt!
A poor leprechaun has lost his pot of gold. You and your partner have agreed to help him find it. Start by answering the questions listed below off the worksheet. As you solve, find each answer in the maze. Your path of correct answers must be connecting (the boxes may be touching diagonally as well). Find the pot of gold! Good luck!