Pre-Calculus Homework Solutions 12

Pre-Calculus Homework Solutions 12 - 7. Lines p and q are...

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7. Lines p and q are perpendicular if angles 1 and 2 are both right angles. Then m / 1 5 m / 2 5 90. So 3 x 1 18 5 90 2 8 y 2 70 5 90 3 x 5 72 2 8 y 5 160 x 5 24 y 52 20 8. No; while / SRT appears to be a right angle, no information verifies this. 9. Yes; they share a common side and vertex, so they are adjacent. Since P w R w falls between P w Q w and P w S w , m / QPR , 90, so the two angles cannot be complementary or supplementary. 10. m / 4 5 60 and / 2 and / 4 are vertical angles, so m / 2 5 60. / 1 and / 4 are supplementary angles. m / 1 1 m / 4 5 ¬ 180 m / 1 1 60 5 ¬ 180 m / 1 5 ¬ 120 / 1 and / 3 are vertical angles so m / 3 5 120. Pages 42–43 Practice and Apply 11. / WUT and / VUX are vertical angles. They each have measures less than 90°, so they are acute. 12. / WUV and / XUT are vertical angles. They each have measures greater than 90°, so they are obtuse. 13. / ZWU is a right angle and / ZWU and / YWU are supplementary so / YWU is a right angle. Then
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