2 years ago

Determine the value of x for which a || b if m<30=80-x and m<7=90-2x.

Mathematics

1 answer:

abruzzese [7]2 years ago

8 0

D. 10

m<3 = 80 - (10) = 70
m<7 = 90 - (20) = 70

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Given uv = su tu sv prove vt = st

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Answer: see proof below

<u>Step-by-step explanation:</u>

$\begin{array}{cl|cl}&\underline{\text{Statement}}&&\underline{\text{Reason}}\\1.&TU\perp SV&1.&\text{Given}\\2.&\angle TUV = 90^o&2.&\text{De finition of Perpendicular angles}\\&\angle TUS = 90^o&&\\3.&\angle TUV=\angle TUS&3.&\text{Transitive Property}\\4.&UV=US&4.&\text{Given}\\5.&TU=TU &5.&\text{Reflexive Property}\\6.&\triangle TUV = \triangle TUS&6.&\text{SAS Congruency Theorem}\\7.&VT=ST&7.&CPCTC\end{array}$