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Schach [20]
3 years ago
15

QRST is an isosceles trapezoid and m

Mathematics
1 answer:
Rudiy273 years ago
3 0

Answer:

B. \huge \red {\boxed { 64\degree}}

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.

\therefore m\angle S = m\angle R

\because m\angle R= 116\degree

\therefore m\angle S= 116\degree

m\angle S + m\angle T = 180\degree

(angles on the same side of transversal)

116\degree + m\angle T = 180\degree

m\angle T = 180\degree - 116\degree

\huge \purple {\boxed {m\angle T = 64\degree}}

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