Whatcha need help with Hun?
What is the question?
Notice that AO and BO are both radii of the circle. What does that tell you about their lengths?
There both equal?
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.
That means angles A and B are congruent.
What is the sum of the measures of the angles of a triangle?
BTW, congruent angles have the same measure.
Im no following :.
The sum of the measures of the angles of a triangle is 180 degrees.
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.
Each unknown angle measures x. We can solve the equation: x + x + 87 = 180 2x + 87 = 180 2x = 93 x = 46.5
Im a idiot -.- ok next step is
Ooops sorry didnt see that os is lagging
Can we do some more? i will reward you
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
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.