In the diagram, transversal t cuts parallel lines a and b. Which equation is necessarily true?

A.
m∠1 = m∠7

B.
m∠3 = m∠6

C.
m∠5 + m∠8 = 90°

D.
m∠6 + m∠7 = 180°

In the diagram transversal t cuts parallel lines a and b Which equation is necessarily true A m1 m7 B m3 m6 C m5 m8 90 D m6 m7 180 class=

Respuesta :

B is the correct answer

Answer:

The correct answer is option B.  

m<3 = m<6

Step-by-step explanation:

From the figure we an see that, a and b are parallel lines and line t is the traversal on the lines.

To find the correct option

From the given figure we get

Corresponding angles are,

<1 & <5,  <2&<6, <2&<7 and <4 &<8

Alternate interior angles are,

<3 & <6  and <4 &<5

Alternate interior angles are equal.

m<3 = m<6

Therefore the correct answer is optionB