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the measure of angle a=______ degrees?

 

 Jul 27, 2014

Best Answer 

 #1
avatar+128475 
+8

The two radii are equal sides of an isosceles triangle. So the angles opposite those sides (A and B) are equal. Thus, angle A + angle B + 110 = 180. So, angle A + angle A + 110 = 180. Subtract 110 from each side. Thus angle A + angle A = 180-110. So 2*angle A  = 70. Divide by 2 on both sides. Then, angle A = (70)/2 = 35 degrees.

 

 Jul 27, 2014
 #1
avatar+128475 
+8
Best Answer

The two radii are equal sides of an isosceles triangle. So the angles opposite those sides (A and B) are equal. Thus, angle A + angle B + 110 = 180. So, angle A + angle A + 110 = 180. Subtract 110 from each side. Thus angle A + angle A = 180-110. So 2*angle A  = 70. Divide by 2 on both sides. Then, angle A = (70)/2 = 35 degrees.

 

CPhill Jul 27, 2014
 #2
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+3

I had gotten up to 70 but I did not know what to do after lol thank you cphill

 Jul 27, 2014
 #3
avatar+8261 
0

CPhill, I am a bit confused on this one. May you please explain it to me?

 Jul 27, 2014
 #4
avatar+128475 
+3

OK, DS......we have a triangle ABC where one angle  = 110 degrees. Note that two of the sides  are just radii of the circle. And all radii in a circle are equal.  And by a theorem in Gepmetry, when two sides of a triangle are equal, the angles opposite those sides (in this case, angle A and angle B) are equal. So remember , that in any triangle, the angles always sum to 180 degrees. So angle A + angle B + 110 = 180. But angle A = angle B, so we can write......angle A + angle A + 110 = 180. Therefore 2*Angle A + 110 = 180. Subtract 110 from each side, and we have....2*Angle A = 70. Now, divide both sides by 2, and we have that Angle A = 35.

Got it???

 

 Jul 27, 2014
 #5
avatar+8261 
0

I don't get what radii is and I don't know what Gepmetry is. May you explain those so I can understand it?

 Jul 27, 2014

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