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CBSE Class 7 Answered

The difference between the measures of the two angels of a complementary pair is 40 degree. Find the measure of two angles
Asked by Sunilsushil.pradhan | 07 Aug, 2018, 08:39: PM
answered-by-expert Expert Answer
begin mathsize 16px style Let space the space bigger space angle space be space straight x space and space smaller space angle space be space straight y.
The space difference space between space the space measures space of space the space two space angels space of space straight a space
complementary space pair space is space 40 degree.
straight x space minus space straight y space equals 40 degree space space.... left parenthesis 1 right parenthesis
The space pairs space of space angles space is space complementry.
straight x space plus space straight y space equals space 90 degree space.... left parenthesis 2 right parenthesis
Adding space left parenthesis 1 right parenthesis space and space left parenthesis 2 right parenthesis
2 straight x space equals space 130 degree
rightwards double arrow straight x space equals space 65 degree
Put space straight x space equals space 65 degree space in space left parenthesis 2 right parenthesis comma space we space get space straight y space equals space 25 degree
rightwards double arrow the space bigger space angle space is space 65 degree space and space smaller space angle space is space 25 degree. end style
Answered by Yasmeen Khan | 08 Aug, 2018, 11:02: AM
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