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Answer :
Final answer:
Angle 1 and angle 3 are congruent and have a measure of 78°. Congruent angles are angles that have the same measure.
Explanation:
Identifying congruent angles in a shape depends on the properties of the shape. For example, in a square, all angles are congruent because they all measure 90°. Conversely, in an isosceles triangle, only two angles are congruent. This concept can be applied to various shapes in geometry when you're trying to find congruent angles.
If m2 = 78°, then any angle that is congruent to 2 will also be 78°.
In a triangle, the angles add up to 180°, so if m2 = 78°, then m1 + m3 = 180° - 78° = 102°.
Therefore, angles 1 and 3 are congruent and also measure 78°.
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