Question

directions: select the relationship between the angle and the given measurement for questions 1-6 by clicking on the small triangles. fill in the measurements of the missing angles. diagrams not drawn to scale
1.
vertical → ( mangle d )
corresponding → ( mangle e )
alternate exterior → ( mangle h )
supplementary → ( mangle c )
2.
vertical → ( mangle i )
supplementary → ( mangle h )
alternate interior → ( mangle m )
corresponding → ( mangle n )

Explanation:

Step1: Ángulo vertical a ∠d

$\text{m}\angle d = 120^\circ$ (ángulos verticales son iguales)

Step2: Ángulo correspondiente a ∠d

$\text{m}\angle e = 120^\circ$ (ángulos correspondientes son iguales)

Step3: Ángulo exterior alterno a ∠d

$\text{m}\angle h = 120^\circ$ (ángulos exteriores alternos son iguales)

Step4: Ángulo suplementario a ∠d

$\text{m}\angle c = 180^\circ - 120^\circ = 60^\circ$ (ángulos suplementarios suman $180^\circ$)

Step5: Ángulo vertical a ∠h

$\text{m}\angle i = 100^\circ$ (ángulos verticales son iguales)

Step6: Ángulo suplementario a ∠h

$\text{m}\angle h = 180^\circ - 100^\circ = 80^\circ$ (ángulos suplementarios suman $180^\circ$)

Step7: Ángulo interior alterno a ∠h

$\text{m}\angle m = 100^\circ$ (ángulos interiores alternos son iguales)

Step8: Ángulo correspondiente a ∠h

$\text{m}\angle n = 100^\circ$ (ángulos correspondientes son iguales)

Answer:

1. $\text{m}\angle d = 120^\circ$
2. $\text{m}\angle e = 120^\circ$
3. $\text{m}\angle h = 120^\circ$
4. $\text{m}\angle c = 60^\circ$
5. $\text{m}\angle i = 100^\circ$
6. $\text{m}\angle h = 80^\circ$
7. $\text{m}\angle m = 100^\circ$
8. $\text{m}\angle n = 100^\circ$