Here_to_Help15
  • Here_to_Help15
HELP!!! MDEDAL AND FAN
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
Whatcha need help with Hun?
rainbow_rocks03
  • rainbow_rocks03
What is the question?
Here_to_Help15
  • Here_to_Help15
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Here_to_Help15
  • Here_to_Help15
@Vincent-Lyon.Fr
mathstudent55
  • mathstudent55
Notice that AO and BO are both radii of the circle. What does that tell you about their lengths?
Here_to_Help15
  • Here_to_Help15
There both equal?
Here_to_Help15
  • Here_to_Help15
anonymous
  • anonymous
thats right.
Here_to_Help15
  • Here_to_Help15
Here_to_Help15
  • Here_to_Help15
mathstudent55
  • 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
  • mathstudent55
That means angles A and B are congruent.
Here_to_Help15
  • Here_to_Help15
Which means?
mathstudent55
  • mathstudent55
|dw:1433274838068:dw|
mathstudent55
  • mathstudent55
What is the sum of the measures of the angles of a triangle?
mathstudent55
  • mathstudent55
BTW, congruent angles have the same measure.
Here_to_Help15
  • Here_to_Help15
Im no following :.
Here_to_Help15
  • Here_to_Help15
Here_to_Help15
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Here_to_Help15
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Here_to_Help15
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mathstudent55
  • mathstudent55
The sum of the measures of the angles of a triangle is 180 degrees.
mathstudent55
  • 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
  • mathstudent55
|dw:1433275911569:dw|
mathstudent55
  • 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
  • Here_to_Help15
Im a idiot -.- ok next step is
Here_to_Help15
  • Here_to_Help15
Ooops sorry didnt see that os is lagging
Here_to_Help15
  • Here_to_Help15
Can we do some more? i will reward you
Here_to_Help15
  • Here_to_Help15
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Here_to_Help15
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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
  • 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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