What are the numerical measures of each angle in the diagram? <1 and 23 measure degrees 22 and 24 measure degrees (3x - 1) 73 (2x + 9)

Question

asked Sep 22, 2020 113k views

1 Answer

Paul Maserrat · Answer 1 · 2020-09-27T01:46:14+0000

Answer:

$m\angle 1\:and\:m\angle 3=29\degree$

$m\angle 2\:and\:m\angle 4=151\degree$

Explanation:

The missing diagram is shown in the attachment.

Recall that vertical angles are congruent:

$\implies 2x+9=3x-1$

$\implies 3x-2x=9+1$

$\therefore x=10$

$m\angle 1=m\angle 3=3(10)-1=30-1=29\degree$

The sum of angles on a straight line is 180 degrees

$m\angle 2=m\angle 4=180-29\degree=151\degree$