In an obtuse isosceles triangle the angle measurements are, x∘, x∘, and (10x−2)=128∘. find the measurement of one of the acute angles varsity tutors

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02-07-2018
Mathematics

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In an obtuse isosceles triangle the angle measurements are, x∘, x∘, and (10x−2)=128∘. find the measurement of one of the acute angles varsity tutors

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calculista calculista · Answer 1 · 2018-07-11T14:53:56+02:00

calculista calculista

11-07-2018

we know that
the sum of the internal angles of a triangle is 180 degrees
so
in this problem
(10x−2)=128∘--------->; 10x=128+2---------> 10x=130------>; x=130/10
x=13°
the angles are
13°, 13°
and
the third angle is equal to
180-2*(13)=154°

the answer is
the measurement of one of the acute angles is 13 degrees

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