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Sagot :
Answer:
26, 64
Step-by-step explanation:
we have :
angle 90°
acute angle x
acute angle 2(x+6)
The sum of the angles in a triangle has to be 180° so
90 +x+2(x+6) = 180
90 +x +2x+12 = 180
3x = 180 -90-12
x= 78/3 = 26°
the other acute angle is 2(26+6) = 64°
Answer:
26, 64
Step-by-step explanation:
We can name the first acute angle x and the second acute angle y. We know that x=2(y+6) but we also need another equation to solve the problem. Since we know that the sum of angles in a triangle is equal to 180 degrees and this is a right triangle, the two acute angles sum will be equal to 90 degrees. That would be our second equation, x+y=90. Now we can just substitute the first equation into the second one: 2(y+6)+y=90 -> 2y+12+y=90 ->3y=78 -> y=26
Now we can substitute y into one of the original equations and solve for x: x+26=90 -> x=64
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