![]() ![]() Example 2 In the isosceles trapezoid the base angle is in three times less than the interior angle at the end of the shorter base. The key ideas used are: Base angles of an isosceles trapezoid are congruent. The angles of the trapezoid are 73° (at the larger base) and 107° (at the shorter base). This video explains how to calculate the angles of an isosceles trapezoid. According to the sufficient base angles theorem, if a triangle's sides (such as those of an isosceles triangle) are congruent, then its opposing angles must also be congruent. The interior angle at the shortest base is equal to 180° - 73° 107°.In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.A linear pair's total angles are always equal to 180°. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. When two lines cross at one point, a linear pair of angles is created.Thus, the two angles, ∠JKL and ∠MLK are congruent or equal to each other by the means of the base angles theorem, and third option - base angles theorem - the missing justification for statement 4. ![]() ![]() The two base angles in an isosceles triangle that are opposite the congruent sides must be identical in measure or congruent, according to the base angle theorem.Īs a result, JKL and MLK are the base angles of the recognized isosceles triangle. In a rhombus, m angle 1 15x, m angle 2 x + y, and m angle 3 30z. Third option Base angles theorem is the correct answer as it contains the information that statement 4 is missing. ![]()
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