The measure of one acute angle in a right triangle is four times the measure of the other acute angle. Write and solve a system of equations to find the measures of the acute angles.
The two acute angles must sum to 90° and one is 4 times larger than the other. So, angle 1 + 4*(angle 2) = 90° 5 * angle = 90° Angles = 18° and 72°
But whats the equation? I mean.. i can see it but i dont know how to write it
Please
Okay I guess I typed too quickly there. You have 2 angles that equal 90° One angle is 4 times larger than the other so angle + 4 * angle = 90° 5 * angle = 90° angle = 18° so other angle = 4*18° = 72°
Notice you do not need 2 equations to solve it.
The measure of one acute angle in a right triangle is four times the measure of the other acute angle. Write and solve a system of equations to find the measures of the acute angles. First lest set up this equation The measure of one acute angle in a right triangle is four times the measure of the other acute angle x = one acute angle y = the other acute angle For the first equation, it tells us one acute angle is 4 time the other acute angle. We write this like x = 4y Now for the other equation and acute angle we need to know the total of all the angles and the total of all the angels on a right triangle is 180 degrees we set it up like so x + y + 90 = 180 A triangle has 3 sides but we do not know x or y but we know the 90 degrees angle. Now we substitute 4y for x because x = 4y Our equation now looks like 4y + y + 90 = 180 Now you can solve for y, which is one of the acute angles. Can you solve now or you need me to continue?
Ok i got it thanks
i dont know who to give the medal
i mean i know how to do it now
Once you solve for y you just put the answer of y into x = 4y So if y = 5 the other acute angle would be x = 4(5) , which x would = 20
MDoodler - solve it with just one equation
i got y=18
That is the answer - look at both of my answers - you do not need 2 equations.
ok
For the other angle if it is 4 times the other angle then it is 4 * 18 or ??
72
Very good Daniel !
Thanks. now i got it
LOL
And now that you got y = 18 all you had to do is insert y into x = 4y which would give you x, which is x = 4(18) = 72 Both ways work.
Thanks
Also @wolf1728 learn to explain and not just give answers like you did at first. It does not help them by just giving them the answers.
Thats true
But now i got it
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