Answer:
B. [tex] \huge \red {\boxed { 64\degree}} [/tex]
Step-by-step explanation:
- QRST is an isosceles trapezoid (Given)
- Measures of base angles of an isosceles trapezoid are equal.
- RS || QT and, ST and RQ are transversals.
[tex] \therefore m\angle S = m\angle R[/tex]
[tex] \because m\angle R= 116\degree [/tex]
[tex] \therefore m\angle S= 116\degree [/tex]
[tex] m\angle S + m\angle T = 180\degree [/tex]
(angles on the same side of transversal)
[tex] 116\degree + m\angle T = 180\degree [/tex]
[tex] m\angle T = 180\degree - 116\degree [/tex]
[tex] \huge \purple {\boxed {m\angle T = 64\degree}} [/tex]
