Given that L_1 and L_2 are parallel, determine the measure of \widehat{a}.
Same side interior angles are two angles that are on the same side of the transversal and on the interior of (between) the two lines. Thus \widehat{a} and \widehat{b} are same side interior angles.
Same side interior angles theorem implies that if two parallel lines are cut by a transversal, then the same side interior angles are supplementary. Therefore, we have:
\widehat{a} = 180^\circ - 60^\circ = 120^\circ
\widehat{a}=120°
Given that L_1 and L_2 are parallel, determine the measure of \widehat{a}.
Same side interior angles are two angles that are on the same side of the transversal and on the interior of (between) the two lines. Thus \widehat{a} and \widehat{b} are same side interior angles.
Same side interior angles theorem implies that if two parallel lines are cut by a transversal, then the same side interior angles are supplementary. Therefore, we have:
\widehat{a} = 180^\circ - \widehat{b}
On the other hand, we have:
\widehat{c} = 180^\circ - \widehat{b}
Therefore:
\widehat{a} = \widehat{c} = 135^\circ
\widehat{a}=135°
Given that L_1 and L_2 are parallel, determine the measure of \widehat{a}.
Same side interior angles are two angles that are on the same side of the transversal and on the interior of (between) the two lines. Thus \widehat{a} and \widehat{b} are same side interior angles.
Same side interior angles theorem implies that if two parallel lines are cut by a transversal, then the same side interior angles are supplementary. Therefore, we have:
\widehat{a} = 180^\circ - 80^\circ = 100^\circ
\widehat{a}=100°
Given that L_1 and L_2 are parallel, determine the measure of \widehat{a}.
Same side interior angles are two angles that are on the same side of the transversal and on the interior of (between) the two lines. Thus \widehat{a} and \widehat{b} are same side interior angles.
Same side interior angles theorem implies that if two parallel lines are cut by a transversal, then the same side interior angles are supplementary. Therefore, we have:
\widehat{a} = 180^\circ - \widehat{b}
On the other hand:
\widehat{c} = 180^\circ - \widehat{b}
\widehat{a} = \widehat{c} = 75^\circ
\widehat{a}=75°
Given that L_1 and L_2 are parallel, determine the measure of \widehat{a}.
Same side interior angles are two angles that are on the same side of the transversal and on the interior of (between) the two lines. Thus \widehat{a} and \widehat{b} are same side interior angles.
Same side interior angles theorem implies that if two parallel lines are cut by a transversal, then the same side interior angles are supplementary. Therefore, we have:
\widehat{a} = 180^\circ - 75^\circ = 105^\circ
\widehat{a}=75°
Given that L_1 and L_2 are parallel, determine the measure of \widehat{a}.
Same side interior angles are two angles that are on the same side of the transversal and on the interior of (between) the two lines. Thus \widehat{a} and \widehat{b} are same side interior angles.
Same side interior angles theorem implies that if two parallel lines are cut by a transversal, then the same side interior angles are supplementary. Therefore, we have:
\widehat{a} = 180^\circ - 72^\circ = 108^\circ
\widehat{a}=108°
Given that L_1 and L_2 are parallel, determine the measure of \widehat{a}.
Same side interior angles are two angles that are on the same side of the transversal and on the interior of (between) the two lines. Thus \widehat{a} and \widehat{b} are same side interior angles.
Same side interior angles theorem implies that if two parallel lines are cut by a transversal, then the same side interior angles are supplementary. Therefore, we have:
\widehat{a} = 180^\circ - \widehat{b}
On the other hand we have:
\widehat{c} = 180^\circ - \widehat{b}
Therefore:
\widehat{a} = \widehat{c}
Now we have:
\widehat{c} +90^\circ + 30^\circ =180^\circ
\widehat{c} =60^\circ
\widehat{a}=60°