The pair of polygons below are congruent. What is m<J
A. 45°
B. 90°
C. 135°
D. 145°

m ∠ A = m ∠ F = 9 0 o m ∠ B = m ∠ G = 9 0 o m ∠ C = m ∠ H = 13 5 o m ∠ D = m ∠ J = ? m ∠ F + m ∠ G + m ∠ H + m ∠ J = 36 0 o 9 0 o + 9 0 o + 13 5 o + m ∠ J = 36 0 o 31 5 o + m ∠ J = 36 0 o m ∠ J = 36 0 o − 31 5 o m ∠ J = 4 5 o A n s w er : A ​

Answered by Anonymous | 2024-06-10

135º + x = 180° ~> x = 45º

Answered by kamikor | 2024-06-10

The measure of angle J is 45 degrees. This is determined by using the property that the angles in congruent polygons are equal and that the sum of the interior angles in a quadrilateral is 360 degrees. Hence, option A (45°) is the correct answer.
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Answered by Anonymous | 2024-10-02