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I don’t get it I have to find the exterior angle (t+20)

I don’t get it I have to find the exterior angle (t+20)-example-1
User Majeda
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1 Answer

5 votes

Answer:

110

Explanation:

To find the measure of the exterior angle we first need to find the value of t.

The sum of interior angles in a triangle is equal to 180° so we can write the following equation:

t + 10 + t + t + 20 = 180 add like terms

3t + 30 = 180 subtract 30 from both sides

3t = 150 divide both sides by 3

t = 50

The exterior angles and the angle represented with t + 20 make a straight line

and they are supplementary angles so their sum is equal to 180

t + 20 = 70 to complete this to 180 we need 110

User Max Tet
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