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#1 An exterior angle of a triangle has a measure of 68. Which of the following could not be the measure of one of its remote interior angles?

#1 An exterior angle of a triangle has a measure of 68. Which of the following could-example-1
User Kimara
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1 Answer

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1) Let's draw a triangle do better understand this:

According to the Exterior Angle Theorem:

The measure of the exterior angle is equal to the sum of two non adjacent angles.

Since the exterior angle is equal to 68º, the sum of those is 68º. The other one (in red) is 180º-68º =112º

The remote interior angle, B

m∠d=m∠c+m∠b

68 = 112 +m∠b

m∠b=112-68

m∠b=44 then m∠a = 180 -(112+44) =24

2) Since the question is what could not be the measure

4) 71º

Because 180º - (112º+71º) = -3 False

#1 An exterior angle of a triangle has a measure of 68. Which of the following could-example-1
User Dhenyson Jhean
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