Given that L_1 and L_2 are parallel, determine the value of the angle \widehat{a}.
If two parallel lines are cut by a transversal, then the corresponding angles are pairs of angles that are formed in the same position in terms of the transversal. Therefore, \widehat{a} and \widehat{b} are corresponding.
The corresponding angles theorem implies that if two parallel lines are cut by a transversal, then the corresponding angles are congruent.
\widehat{a}=60°
Given that L_1 and L_2 are parallel, determine the value of the angle \widehat{a}.
If two parallel lines are cut by a transversal, then the corresponding angles are pairs of angles that are formed in the same position in terms of the transversal. Therefore, \widehat{a} and \widehat{b} are corresponding.
The corresponding angles theorem implies that if two parallel lines are cut by a transversal, then the corresponding angles are congruent.
\widehat{a} = \widehat{b}
\widehat{b} = 180^\circ - 135^\circ
\widehat{b} = 45^\circ
\widehat{a}=45°
Given that L_1 and L_2 are parallel, determine the value of the angle \widehat{a}.
If two parallel lines are cut by a transversal, then the corresponding angles are pairs of angles that are formed in the same position in terms of the transversal. Therefore, \widehat{a} and \widehat{b} are corresponding.
The corresponding angles theorem implies that if two parallel lines are cut by a transversal, then the corresponding angles are congruent.
\widehat{a}=80°
Given that L_1 and L_2 are parallel, determine the value of the angle \widehat{a}.
If two parallel lines are cut by a transversal, then the corresponding angles are pairs of angles that are formed in the same position, in terms of the transversal. Therefore, \widehat{a} and \widehat{b} are corresponding.
The corresponding angles theorem implies that if two parallel lines are cut by a transversal, then the corresponding angles are congruent.
\widehat{a} = \widehat{b}
\widehat{b} = 180^\circ - 75^\circ
\widehat{b} = 105^\circ
\widehat{a}=105°
Given that L_1 and L_2 are parallel, determine the value of the angle \widehat{a}.
If two parallel lines are cut by a transversal, then the corresponding angles are pairs of angles that are formed in the same position in terms of the transversal. Therefore, \widehat{a} and \widehat{b} are corresponding.
The corresponding angles theorem implies that if two parallel lines are cut by a transversal, then the corresponding angles are congruent.
\widehat{a}=75°
Given that L_1 and L_2 are parallel, determine the value of the angle \widehat{a}.
If two parallel lines are cut by a transversal, then the corresponding angles are pairs of angles that are formed in the same position in terms of the transversal. Therefore, \widehat{a} and \widehat{b} are corresponding.
The corresponding angles theorem implies that if two parallel lines are cut by a transversal, then the corresponding angles are congruent.
\widehat{a}=72°
Given that L_1 and L_2 are parallel, determine the value of the angle \widehat{a}.
If two parallel lines are cut by a transversal, then the corresponding angles are pairs of angles that are formed in the same position in terms of the transversal. Therefore, \widehat{a} and \widehat{b} are corresponding.
The corresponding angles theorem implies that if two parallel lines are cut by a transversal, then the corresponding angles are congruent.
\widehat{a} = \widehat{b}
\widehat{b} + 30^\circ + 90^\circ = 180^\circ
\widehat{b}=60^\circ
\widehat{a}=60°