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ira [324]
3 years ago
15

If m∠4 = 35, find m∠3. Explain.

Mathematics
1 answer:
IgorLugansk [536]3 years ago
3 0

Answer:

55; ∠3 and ∠4 are complementary angles, so m∠3 = 90 − m∠4.

Step-by-step explanation:

Complementary angles are a pair of two angles that add up to give us 90°.

Thus, angle 4 and angle 3 are complementary angles.

m∠ACD = 90°, m∠4 = 35°, therefore,

m∠ACD = m∠4 + m∠3.

Thus:

90° = 35° + m∠3

Subtract 35 from both sides

90 - 35 = 35° + m∠3 - 35

55 = m∠3

m∠3 = 55°.

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Let one of the numbers = x

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x - 6.5 = - 1            Add 6.5 to both sides

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