# If the angles ( 2a - 10 )° and ( a - 11 )° are complementary, what is the value of 'a'.

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(2a -10)+(a - 11)= 90 (sum of complementary angles= 90)

2a - 10 + a - 11=90

3a -21= 90

3a= 90+21

3a =111

a= 111/3

a = 37

2a - 10 + a - 11=90

3a -21= 90

3a= 90+21

3a =111

a= 111/3

a = 37

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Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.

Sum of complementary angles is 90 degree

therefore,

(2a-10)+(a-11)=90

(bring like terms together)

(2a+a)-(10+11)=90

3a-21=90

3a=90+21=111

a=111÷3

a=37

therefore,

(2a-10)+(a-11)=90

(bring like terms together)

(2a+a)-(10+11)=90

3a-21=90

3a=90+21=111

a=111÷3

a=37