ABD and ∠DBC are a linear pair. m∠ABD= 4x + 35 and m∠DBC = 9x - 11. What are x, m∠ABD, and m∠DBC?   Draw diagram as well Part 2 of question 1. ∠ABD and ∠DBC are complementary. m∠ABD= 3x - 11 and m∠DBC = 8x - 42. What are x, m∠ABD, and m∠DBC? Draw diagram as well

Q: 11. If TR = 11 ft, find the length of PS. P. T. R 16 S.

A: Calculate the angle PTS. ∠PTS=∠PTR-∠STR∠PTS=180°-16°∠PTS=164°

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Q: If ADEF AJKL, DE = 18, EF = 23, DF = 9x – 23, JL = 7x-11,and JK= 3y-21, find the values of x and y.…

A: Given : ∆DEF≅∆JKLDE=18EF=23DF=9x-23JL=7x-11JK=3y-12

Q: 12. If m/PSQ = (6x – 13)' and m/PQS = (x + 5)', find m/PQS.

A: In a triangle PQS,  Angle of SPQ=90 so, Angle PSQ + Angle PQS = 90 6x-13 + x+5 = 90 7x - 8 = 90  7x…

Q: 10. If mLACD = (7x – 12) and M/BDC = (10x + 5)', find x.

A: we know that in parallelogram ,  Any two adjacent angles add up to 180° .

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Q: Use rectangle PORS 11. If PR = 3x + 5 and SQ = 5x – 9, for 11 and 12. find TR. T S R.

A: Our objective is to find TR.

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A: A detailed solution is given below

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Q: Use rhombus JKLM 13. If NK = 7 and KL = 15, find NL. for 13 and 14. K

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Q: 9. If CE = 6x – 1 and EB = 2x + 11, Use parallelogram ABCD for 9 and 10. find CB. 47 .B

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