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Find the measure of the exterior angle

Find the measure of the exterior angle-example-1
User EricLeaf
by
7.3k points

2 Answers

3 votes

Answer: 125 degrees

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Step-by-step explanation:

Use the remote interior angle theorem

The two interior angles 65 and x+15 add to the exterior angle 3x-10

These interior angles are not adjacent to the exterior angle

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(65) + (x+15) = 3x-10

x+80 = 3x-10

80+10 = 3x-x

2x = 90

x = 90/2

x = 45

This leads to

3x-10 = 3*45-10 = 135-10 = 125

The exterior angle is 125 degrees

User Twmills
by
7.4k points
4 votes

Answer:4x + 80

Step-by-step explanation:

User Kulodo
by
7.5k points