Answer :

apologiabiology
when 2 lines intersect, the angles formed are 2 pairs of congruent vertical angles (see ilustration below)  so the measures of the angles next to each other are supplementary (x+y180 and x and y are positive) so
45+x=180 s
subtract 45 from both sides
x=135

the angles are 45 and 135

in the illustration, 1=2 and 3=4
View image apologiabiology

Answer:

The illustration forms 4 angle the first is known which is 35°, the other 3 are 35°, 145° and 145°. The angles are 2 pairs of vertical angles . From the options to find the other  angle it will be 145°.

Step-by-step explanation:

When two lines intersect at a point they form 2 pairs of angles. The pairs of angles formed are vertical angle . Vertical angle are opposite each other when 2 line are cross . Vertical angles are congruent angles. Vertical angles are equal.

Intersecting lines can also form adjacent angles .Adjacent angles have common vertices and common sides. Since only one angle is given that means the first angle which is 35° forms supplementary angle with another .Supplementary angles amount to 180°.

Note adjacent angle can form supplementary angle.

180° - 35° = 145°

The other angle is 145° which also forms a vertical angle with the opposite sides when the two line crossed. The other angle 35° also forms a vertical angle .