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ure below, ( l parallel h ). find the values of ( y ) and ( z ). ( y=sq…

Question

ure below, ( l parallel h ). find the values of ( y ) and ( z ). ( y=square ) ( z=square )

Explanation:

Step1: Find the value of \( y \)

Since \( l\parallel h \), \( y = 64 \) (corresponding angles are equal).

Step2: Find the value of \( z \)

\( y=(5z - 41) \) (vertical angles are equal). Substitute \( y = 64 \) into the equation:
\( 64=5z - 41 \)
Add 41 to both sides:
\( 64 + 41=5z \)
\( 105=5z \)
Divide both sides by 5:
\( z=\frac{105}{5}=21 \)

Answer:

\( y = 64 \)
\( z = 21 \)