Find the measures of all angles formed by line a parallel to line b with transversal m, if: e the difference of two angles is 46°

Step-by-step explanation:

Consider two parallel lines a and b with transversal m. These lines form 8 angles.

Note that

Since the difference of two angles is 46°, then these angles should be, for example, ∠1 and ∠2. These angles are supplementary, then

m∠1+m∠2=180°.

Solve the system of two equations:

Then

113 and 67

Step-by-step explanation:

If the diffence is 46 then what we want to i’d divide 46 in half which is 23

Then we add 23 to 90=113

and we subtract 23 from 90=67

Boom