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aev [14]
3 years ago
7

What is the measure of angle VYZ

Mathematics
1 answer:
irakobra [83]3 years ago
7 0

Answer:

\boxed{\sf C. \ 161 ^{ \circ}}

Step-by-step explanation:

<em>Opposite angles are also congruent angles, meaning they are equal or have the same measurement.</em>

\sf \implies \angle VYZ = \angle WYT \\  \\  \sf \implies(8x  + 1) ^{ \circ}  = (9x  - 19)^{ \circ}  \\  \\  \sf \implies 8x^{ \circ}  + 1^{ \circ}  = 9x^{ \circ}  - 19^{ \circ}  \\  \\  \sf \implies 8x^{ \circ}  - 9x^{ \circ}   + 1^{ \circ} =  - 19^{ \circ}  \\  \\  \sf \implies  - x^{ \circ}   =  - 19^{ \circ}   -   1^{ \circ}  \\  \\  \sf \implies  \cancel{ -} x^{ \circ}   =   \cancel{- }20^{ \circ}    \\  \\  \sf \implies   x^{ \circ}   =  20^{ \circ}

\therefore

\sf \implies \angle VYZ =(8x + 1) ^{ \circ}  \\  \\  \sf \implies \angle VYZ =(8  \times 20 + 1) ^{ \circ}  \\  \\  \sf \implies \angle VYZ =( 160+ 1) ^{ \circ}  \\  \\  \sf \implies \angle VYZ =161 ^{ \circ}

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