HELP!!! MDEDAL AND FAN

- Here_to_Help15

HELP!!! MDEDAL AND FAN

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- anonymous

Whatcha need help with Hun?

- rainbow_rocks03

What is the question?

- Here_to_Help15

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## More answers

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@Vincent-Lyon.Fr

- mathstudent55

Notice that AO and BO are both radii of the circle.
What does that tell you about their lengths?

- Here_to_Help15

There both equal?

- Here_to_Help15

@mathstudent55 ?

- anonymous

thats right.

- Here_to_Help15

@amistre64

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@Kainui

- mathstudent55

Right. They have the same length.
Now let's look at triangle ABO.
In triangle ABO, two sides are congruent, AO and BO.
If a triangle has two congruent sides, then the opposite angles are congruent.

- mathstudent55

That means angles A and B are congruent.

- Here_to_Help15

Which means?

- mathstudent55

|dw:1433274838068:dw|

- mathstudent55

What is the sum of the measures of the angles of a triangle?

- mathstudent55

BTW, congruent angles have the same measure.

- Here_to_Help15

Im no following :.

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@tkhunny -.-

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@Michele_Laino

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@Mehek14

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@amistre64

- mathstudent55

The sum of the measures of the angles of a triangle is 180 degrees.

- mathstudent55

You have a triangle. The sum of the measures of the angles is 180.
One angle measures 87 degrees, and the other two angles have equal measures.
We can write an equation and solve for the measures of the two congruent angles.

- mathstudent55

|dw:1433275911569:dw|

- mathstudent55

Each unknown angle measures x.
We can solve the equation:
x + x + 87 = 180
2x + 87 = 180
2x = 93
x = 46.5

- Here_to_Help15

Im a idiot -.- ok next step is

- Here_to_Help15

Ooops sorry didnt see that os is lagging

- Here_to_Help15

Can we do some more? i will reward you

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@campbell_st

- campbell_st

well the 3 arc measures add to 360 degrees... so you can then create an equation and solve for x.
it may be easier to post these as new questions... rather than listing them on after another

- mathstudent55

Ok, for this new problem, you need to know that an entire circle is an arc of 360 degrees.
You are shown 3 arcs, each one with a measure. Their sum adds up to 360 deg.
You add up the three arc measures and set equal to 360.
8x - 10 + 6x + 10x + 10 = 360
Then you can solve for x.
Then you plug in the value of x into each measure.
The next step is to divide each arc measure by 2 to find the measures of the angles of the triangle.
Then compare the measures of the angles.
If they are all different, then the triangle is scalene.
If 2 measures are equal, the triangle is isosceles.
If 3 measures are equal, the triangle is equilateral.

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