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let ABC be a triangle
GIVEN
ANGLE A = ANGLE B + ANGLE C ---> 1
therefore angle A + angle B + angle C = 180 degrees-->
from 1and 2 angle A + angle A= 180 degrees
==> 2 A =180 degrees
A= 180/2
==> A= 90 degrees
therefore TRIANGLE ABC IS A RIGHT ANGLE TRIANGLE
HOPE THE ANSWER IS HELPFUL
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