Question

medir ángulos
modelo g
usa el siguiente diagrama para resolver los ejercicios 1 a 11. halla la medida de cada ángulo.

1. ∠mln
2. ∠nlp
3. ∠nlq
4. ∠olp
5. ∠mlq

clasifica cada ángulo como agudo, recto, obtuso o llano.

1. ∠mln
2. ∠nlo
3. ∠mlp
4. ∠olp
5. ∠olq
6. ∠mlq

Explanation:

Step1: Identify angle - measurement on protractor

To find the measure of an angle, we look at the difference between the two rays' positions on the protractor.

Step2: Measure ∠MLN

The ray ML is at 180 - degree mark and ray LN is at 140 - degree mark. So, $m\angle MLN=180 - 140=40^{\circ}$.

Step3: Measure ∠NLP

Ray LN is at 140 - degree mark and ray LP is at 60 - degree mark. So, $m\angle NLP = 140-60 = 80^{\circ}$.

Step4: Measure ∠NLQ

Ray LN is at 140 - degree mark and ray LQ is at 0 - degree mark. So, $m\angle NLQ=140 - 0=140^{\circ}$.

Step5: Measure ∠OLP

Ray LO is at 90 - degree mark and ray LP is at 60 - degree mark. So, $m\angle OLP=90 - 60 = 30^{\circ}$.

Step6: Measure ∠MLQ

Ray ML is at 180 - degree mark and ray LQ is at 0 - degree mark. So, $m\angle MLQ=180 - 0=180^{\circ}$.

Step7: Classify ∠MLN

Since $0^{\circ}<40^{\circ}<90^{\circ}$, ∠MLN is acute.

Step8: Classify ∠NLO

Ray LN is at 140 - degree mark and ray LO is at 90 - degree mark. $m\angle NLO=140 - 90 = 50^{\circ}$, and since $0^{\circ}<50^{\circ}<90^{\circ}$, ∠NLO is acute.

Step9: Classify ∠MLP

Ray ML is at 180 - degree mark and ray LP is at 60 - degree mark. $m\angle MLP=180 - 60=120^{\circ}$, and since $90^{\circ}<120^{\circ}<180^{\circ}$, ∠MLP is obtuse.

Step10: Classify ∠OLP

Since $0^{\circ}<30^{\circ}<90^{\circ}$, ∠OLP is acute.

Step11: Classify ∠OLQ

Ray LO is at 90 - degree mark and ray LQ is at 0 - degree mark. $m\angle OLQ=90 - 0 = 90^{\circ}$, so ∠OLQ is right.

Step12: Classify ∠MLQ

Since $m\angle MLQ = 180^{\circ}$, ∠MLQ is a straight (llano in Spanish) angle.

Answer:

1. $m\angle MLN = 40^{\circ}$
2. $m\angle NLP=80^{\circ}$
3. $m\angle NLQ = 140^{\circ}$
4. $m\angle OLP=30^{\circ}$
5. $m\angle MLQ = 180^{\circ}$
6. Acute
7. Acute
8. Obtuse
9. Acute
10. Right
11. Straight