concept. example 1 use inscribed angles to find measures a. find m x. answer: m x = 43
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Use Inscribed Angles to Find Measures
A. Find mX.
Answer: mX = 43
Use Inscribed Angles to Find Measures
B.
= 2(52) or 104
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.
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.
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.