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The exterior angle of a triangle measure 130° and its two remote angles
measures 40° and 2x + 20°. Find the value of x
​

Sagot :

Jylakadusale12idn

Answer:

exterior angle of a triangle = sum of the two opposite interior angles

exterior angle of a triangle = sum of the two opposite interior angleslet the second interior angle be x

exterior angle of a triangle = sum of the two opposite interior angleslet the second interior angle be xThen,

exterior angle of a triangle = sum of the two opposite interior angleslet the second interior angle be xThen,130 = 60 + x

exterior angle of a triangle = sum of the two opposite interior angleslet the second interior angle be xThen,130 = 60 + xx = 130 - 60

exterior angle of a triangle = sum of the two opposite interior angleslet the second interior angle be xThen,130 = 60 + xx = 130 - 60x = 70

exterior angle of a triangle = sum of the two opposite interior angleslet the second interior angle be xThen,130 = 60 + xx = 130 - 60x = 70Now,

exterior angle of a triangle = sum of the two opposite interior angleslet the second interior angle be xThen,130 = 60 + xx = 130 - 60x = 70Now,third angle of the triangle = 180 - (70 + 60)

exterior angle of a triangle = sum of the two opposite interior angleslet the second interior angle be xThen,130 = 60 + xx = 130 - 60x = 70Now,third angle of the triangle = 180 - (70 + 60)= 180 - 130

exterior angle of a triangle = sum of the two opposite interior angleslet the second interior angle be xThen,130 = 60 + xx = 130 - 60x = 70Now,third angle of the triangle = 180 - (70 + 60)= 180 - 130= 50

Step-by-step explanation:

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