AriellaBrown7
contestada

PLEASE HELP ASAP!! I AM SO STUCK!!!
Find the values of a and b. The diagram is not to scale
A. a=115, b=71
B. a=115, b=65
C. a=109, b=71
D. a=109, b=65

PLEASE HELP ASAP I AM SO STUCK Find the values of a and b The diagram is not to scale A a115 b71 B a115 b65 C a109 b71 D a109 b65 class=

Respuesta :

SmarticalParticals
Ok... I've drawn a picture to explain what I did, but basically I used the outer angles of the trapezoid to form right triangles and then filled in the other angles based on those... Let me know if you have any questions about it. Your answer is A by the way.
Ver imagen SmarticalParticals
calculista

Answer:

The answer is the option A

[tex]a=115\°[/tex] [tex]b=71\°[/tex]

Step-by-step explanation:

In this problem we know that

The bases of the trapezoid are parallel

therefore

[tex]a\°+65\°=180\°[/tex] ------> by consecutive interior angles

[tex]a=180\°-65\°=115\°[/tex]

[tex]b\°+109\°=180\°[/tex] ------> by consecutive interior angles

[tex]b=180\°-109\°=71\°[/tex]

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