SOLUTION: ∠A and \angle B∠B are complementary angles. If m\angle A=(x-21)^{\circ}∠A=(x−21)
∘
and m\angle B=(2x-15)^{\circ}∠B=(2x−15)
∘
, then find the measure of \an
Algebra ->
Angles
-> SOLUTION: ∠A and \angle B∠B are complementary angles. If m\angle A=(x-21)^{\circ}∠A=(x−21)
∘
and m\angle B=(2x-15)^{\circ}∠B=(2x−15)
∘
, then find the measure of \an
Log On
Question 1191181: ∠A and \angle B∠B are complementary angles. If m\angle A=(x-21)^{\circ}∠A=(x−21)
∘
and m\angle B=(2x-15)^{\circ}∠B=(2x−15)
∘
, then find the measure of \angle A∠A.
You can put this solution on YOUR website! .
∠A and \angle B∠B are complementary angles. If m\angle A=(x-21)^{\circ}∠A=(x−21)
∘
and m\angle B=(2x-15)^{\circ}∠B=(2x−15)
∘
, then find the measure of \angle A∠A.
~~~~~~~~~~~~~~~~~~
Your equation is
m(A) + m(B) = 90 degrees (complementary angles)
or
(x-21) + (2x-15) = 90.
Simplify and find x
x - 21 + 2x - 15 = 90
x + 2x = 90 + 21 + 15
3x = 126
x = 126/3 = 42.
ANSWER. m(A) = x-21 = 42-21 = 21 degrees; m(B) = 2x-15 = 2*42 - 15 = 69 degrees.
CHECK. m(A) + m(B) = 21 + 69 = 90 degrees. ! Correct !
