Question

What is the measure of angle VYZ

Answer 1

`\boxed{\sf C. \ 161 ^( \circ)}`

Explanation:

Opposite angles are also congruent angles, meaning they are equal or have the same measurement.

`\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 * 20 + 1) ^( \circ) \\ \\ \sf \implies \angle VYZ =( 160+ 1) ^( \circ) \\ \\ \sf \implies \angle VYZ =161 ^( \circ)`