<1=105°
<2=75°
Step-by-step explanation:
The value of angles 1 and 2 can be determined as follows
given that c||d
The two parallel lines c and d are intersected by a transversal.
75° and <2 are corresponding angles and thus will be equal.
<2=75°
<1 and <2 are angles along the same line.
<1+<2=180°
<1=180-<2=180-75=105°
<1=105°
<2=75°
Answer:
Measure of angle 1 is (∠1 = 105° ) and angle 2 is ( ∠2 = 75° ) .
Step-by-step explanation:
We have, c ∥ d in the above figure . Corresponding angles are angles that are in the same relative position at an intersection of a transversal and at least two lines. In geometry, a transversal is a line that passes through two lines in the same plane at two distinct points , in this case the line crossing other two parallel lines is transversal. If the lines are parallel then the corresponding angles are congruent.
By corresponding angle property, ∠6 = ∠2 , ∴∠2 = 75°
We know that in line c sum of ∠1 + ∠2 = 180°
⇒ ∠1 = 180°-∠2 ⇒ 180° - 75° ⇒ ∠1 = 105°
∴Measure of angle 1 ( ∠1 ) and angle 2 ( ∠2 ) is 105° & 75° respectively.
