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I need helppppppppp please help me I don’t understand

I need helppppppppp please help me I don’t understand-example-1

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Answer:

m∠2 = 130°

m∠3 = 25°

m∠4 = 25°

Explanation:

Opposite angles of rhombi are congruent. Therefore,

m∠1 = m∠2 = 130°

The measures of the interior angles of a triangle add to 180°. Using this information, along with the isosceles triangle theorem, we can solve for m∠3 (which is also congruent to m∠4):

m∠2 + 2(m∠3) = 180°

↓ substituting in m∠2

130° + 2(m∠3) = 180°

↓ subtracting 130° from both sides

2(m∠3) = 50°

↓ dividing both sides by 2

m∠3 = 25°

m∠3 = m∠4 = 25°

User Allanah
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