tr1759481 tr1759481
  • 17-11-2020
  • Mathematics
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Find the missing measures. Write your numerical answers only with a comma in between.

Find the missing measures Write your numerical answers only with a comma in between class=

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eudora eudora
  • 23-11-2020

Answer:

m∠T = 72°

m∠U = 54°

Step-by-step explanation:

Property of an isosceles triangle,

Opposite angles of two equal sides of an isosceles triangle are equal in measure.

By this property, in the given triangle STU,

Since, ST ≅ TU,

m∠S = m∠U = 54°

Since, sum of interior angles of a triangle is 180°

m∠T + m∠S + m∠U = 180°

m∠T + 54° + 54° = 180°

m∠T = 180° - 108°

m∠T = 72°

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