97.6k views
4 votes
Given: BOAT is an isosceles trapezoid. If T = 130°, find O.

User Rageit
by
8.6k points

2 Answers

5 votes
180 - 130 = 50°
opposite sides add up to 180
User Bendihossan
by
8.0k points
2 votes

Answer;

O = 50°

Explanation and solution;

  • An isosceles trapezoid is a quadrilateral that has a pair of sides that opposite and are parallel and another pair of sides that are opposite and are congruent.
  • Both pairs of opposite angles in an isosceles trapezoid are supplementary which means their sum add up to 180°.

Therefore;

∠ B + ∠ A = 180° and ∠T + ∠O = 180°

Hence; ∠O = 180 -∠T

= 180 - 130°

= 50 °

User Demokritos
by
8.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories