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What are the steps to get the answer?

What are the steps to get the answer?-example-1
User Asfand
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The statement that is true regarding the angles is determined as m∠7 = m∠3 + m∠2. (Option 4).

How to determine the statement about the angles that is always true.

The statement that is true regarding the angles is determined as follows;

Using exterior angle theorem, which states that the measure of an exterior angle of a triangle is equal to the sum of the measures of its two opposite interior angles.

m∠3 + m∠4 = m∠1

Also another equation would be;

m∠7 = m∠3 + m∠2

So the statement given in option 1 is false, while the statement given in option 4 is always true based on the exterior angle theorem.

User Cweinberger
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