A ∠A and ∠ B ∠B are complementary angles. If m ∠ A = ( 2 x − 2 9 ) ∘ ∠A=(2x−29) ∘ and m ∠ B = ( x + 2 3 ) ∘ ∠B=(x+23) ∘ , then find the measure of ∠ B ∠B. ?

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Answer 1 · 2018-05-24T01:13:25

#55# degrees

Add the expressions up and set up an equation.
#(2x-29)+(x+23)=90#

Simplify and solve for #x#.
#3x-6=90#
#3x=96#
#x=32#

Find angle B.
#x+23=32+23=55#

A ∠A and ∠ B ∠B are complementary angles. If m ∠ A = ( 2 x − 2 9 ) ∘ ∠A=(2x−29) ​∘ ​​ and m ∠ B = ( x + 2 3 ) ∘ ∠B=(x+23) ​∘ ​​ , then find the measure of ∠ B ∠B. ?