An angle measures 6° more than the measure of its complementary angle. What is the measure of each angle?
2 answers:
Answer:
42 degrees, and 48 degrees
Step-by-step explanation:
set up an equation to find x, the first angle measure
(x+6)+x=90
then simplify:
2x+6=90
2x=84
x=42
So, the first angle measure is 42, now to find the second angle measure, add 6 to 42, and you will get 48.
Answer:
42° and 48°
Step-by-step explanation:
Complementary angles add up to 90°.
So we have one angle x and the other angle x+6 which when added together will equal 90°.
x + x + 6 = 90
2x + 6 = 90
-6 - 6
2x = 84
Divide both sides by 2
2x/2 = 84/2
x = 42
So one angle = 42°, and the other angle = 42° + 6° = 48°.
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