contestada

Lamar wanted to explain why the measure of angle 5 is equal to the sum of the measures of angles 1 and 3. Which geometry concepts should be used in Lamar’s work?

A. supplementary angles and the sum of the measures of interior angles of a triangle
B. complementary angles and the sum of the measures of interior angles of a triangle
C. supplementary angles and vertical angles
D. the sum of the measures of interior angles of a triangle and vertical angles

Lamar wanted to explain why the measure of angle 5 is equal to the sum of the measures of angles 1 and 3 Which geometry concepts should be used in Lamars work A class=

Respuesta :

Riia

In this question, angle 5 and angle 2 are linear pair. And angles of linear pair are supplementary angles .

Therefore

[tex] \angle 5 + \angle 2=180 [/tex]

And sum of interior angles of a triangle is 180 degree, that is

[tex] \angle 1 + \angle 2 + \angle 3 =180 [/tex]

SInce both the equations have 180 in the right side, left side of both equations are equal too . That is

[tex] \angle 5 + \angle 2 = \angle 1 + \angle 2 + \angle 3 [/tex]

Which gives

[tex] \angle 5=\angle 1 + \angle 3 [/tex]

So the correct option is A .

sarahprather11

Answer: option A

Step-by-step explanation:

Because supplementary angles and the sum of the measure of interior angles of a triangle