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Given that p || q, we know that the angles on the same side of a transversal (t) are supplementary. Therefore, we can write:
m∠2 + m∠4 = 180°
We are also given that m∠1 = 125°. Since p || q, we know that m∠1 = m∠2. Therefore, we can write:
m∠2 = 125°
Substituting this into the previous equation, we get:
125° + m∠4 = 180°
Subtracting 125° from both sides, we get:
m∠4 = 55°
Now, we can find m∠3 using the fact that the sum of the angles in a triangle is 180°:
m∠2 + m∠3 + m∠4 = 180°
Substituting the values we know, we get:
125° + m∠3 + 55° = 180°
Simplifying, we get:
m∠3 = 180° - 125° - 55°
m∠3 = 0°
So, the measures of the angles are:
m∠1 = 125°
m∠2 = 125°
m∠3 = 0°
m∠4 = 55°
If The answer helped you please give my five star, thank you ;)
Given that p || q, we know that the angles on the same side of a transversal (t) are supplementary. Therefore, we can write:
m∠2 + m∠4 = 180°
We are also given that m∠1 = 125°. Since p || q, we know that m∠1 = m∠2. Therefore, we can write:
m∠2 = 125°
Substituting this into the previous equation, we get:
125° + m∠4 = 180°
Subtracting 125° from both sides, we get:
m∠4 = 55°
Now, we can find m∠3 using the fact that the sum of the angles in a triangle is 180°:
m∠2 + m∠3 + m∠4 = 180°
Substituting the values we know, we get:
125° + m∠3 + 55° = 180°
Simplifying, we get:
m∠3 = 180° - 125° - 55°
m∠3 = 0°
So, the measures of the angles are:
m∠1 = 125°
m∠2 = 125°
m∠3 = 0°
m∠4 = 55°