Pre-Calculus Homework Solutions 115

# Pre-Calculus Homework Solutions 115 - 27. Use the origin as...

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23. n PQU is isosceles with base P w U w . n PRT is isosceles with base P w T w . Step 1 The base angles of n PQU are congruent. Let x represent m / P and m / QUP . m / P 1 m / QUP 1 m / PQU 5 ¬ 180 x 1 x 1 40 5 ¬ 180 2 x 5 ¬ 140 x 5 ¬ 70 So, m / P 5 m / QUP 5 70. Step 2 The base angles of n PRT are congruent. By Step 1 we know m / P 5 70, so m / T 5 70. Let y represent m / R . m / P 1 m / T 1 m / R 5 ¬ 180 70 1 70 1 y 5 ¬ 180 y 5 ¬ 40 So, m / R 5 40. 24. n RQS is isosceles with base Q w S w .The base angles of n RQS are congruent, so / RQS > / RSQ .We are given m / RQS 5 75, so m / RSQ 5 75. Let y represent m / R . m / RQS 1 m / RSQ 1 m / R 5 ¬ 180 75 1 75 1 y 5 ¬ 180 y 5 ¬ 30 So, m / R 5 30. 25. n RQS is isosceles with base Q w S w . n RPT is isosceles with base P w T w . Step 1 The base angles of n RQS are congruent, and m / RQS 5 80 so m / RSQ 5 80. Let x represent m / R . m
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## This note was uploaded on 12/19/2011 for the course MAC 1140 taught by Professor Dr.zhan during the Fall '10 term at UNF.

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