Chords AC and DB intersect at point E. Select all pairs of angles that must be congruent.
1 answer:
∠ADE and ∠ACB, ∠DEA and ∠CEB, ∠CAD and ∠CBD are pairs of angles that must be congruent.
<h3>What are congruent angles?</h3>Congruent angles are said to be angles that have equal measure.
From the figure, we can see that;
∠ADE and ∠ACB are congruent because they are corresponding angles, corresponding angles are equal.
∠DEA and ∠CEB are congruent because they are corresponding angles
∠CAD and ∠CBD are also congruent because they are corresponding angles
Therefore, ∠ADE and ∠ACB, ∠DEA and ∠CEB, ∠CAD and ∠CBD are pairs of angles that must be congruent.
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Step-by-step explanation:
This is a right triangle with two congruent angles. so this is a isoceles right triangle or called a
45-45-90 triangle. This means that the legs are equal to each other so