SOLUTION: Please help me solve this problem: Angle 1 is the complement of angle 2. If m<1 = (6x-30) and m<2 = (4x=10),what is the value of x and m<2?

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Question 678513: Please help me solve this problem:
Angle 1 is the complement of angle 2. If m<1 = (6x-30) and m<2 = (4x=10),what is the value of x and m<2?
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

complementary angles are angles whose measures sum to 90°
given:
+m<1 = 6x-30 and m<2 = 4x%2B10

find: what is the value of x and m<2+

%286x-30%29%2B%284x%2B10%29=90
6x-30%2B4x%2B10=90
10x-20=90
10x=90%2B20
10x=110
highlight%28x=11%29

and m<2 = 4x%2B10

m<2 = 4%2A11%2B10
m<2+= 44%2B10
m<2 = highlight%2854%29