Respuesta :

jordanhand

Answer:

The measure of F is C)60

Step-by-step explanation:

YOu have to subtract 116 from 180 an you should get 64. SO 64 is the other angle inside of the trianlge. You add 64 and 56, you get the answer 120. You subtract 120 from 180 and you get the answer 60. The measure of angle F is 60.

kandreaciau

Answer:

Step-by-step explanation:

There are three rules in mathematics that help us solve this problem:

1. Angles opposite the vertex measure the same.

2. All the interior angles of a triangle add up to 180 °

3. All angles that share a vertex add up to 360 °

So, we have that the angle opposite the vertex to the angle that measures 116 ° must measure the same: 116 °

So, we have two angles of 116°, so we add, 116 + 116 = 232

360 - 232 = 128

The other two opposite angles (of which one is an internal angle of the triangle) add up to 128

Since they are opposite by the vertex, they measure the same, so we divide by two and it gives us the value of each one:

128/2 = 64

So, if we know by the second rule, 64 + 56 + f = 180

We resolve:

120 + f = 180

(120 + f) - 120 = 180 -120

f = 60

The value of the angle F is 60°

Otras preguntas