find the measure of each angle (x+17)degrees and x degrees. This is a right angle, not sure how to set up this problem.
One of angle in right angle triangle is 90°
Other two angles is x+17
Sum of angles in triangle is 180°.
Thats mean:
90°+2*(x+17)=180°
2*(x+17)=180°-90°=90°
2*(x+17)=90° Divided with 2
x+17=(90°/2)=45° , x+17=45°
x=45-17=28°
x=28°
Checking:
90°+2*(x+17)=90°+2*(28+17)=90°+2*45°=90°+90°=180°
To find the measure of each angle, we'll use the fact that a right angle is 90 degrees.
In this case, we have two angles: (x+17) degrees and x degrees.
Since the sum of the angles in a right angle is 90 degrees, we can set up the equation:
(x+17) + x = 90
Now, we can solve this equation to find the value of x.
Combining like terms:
2x + 17 = 90
Subtracting 17 from both sides:
2x = 73
Dividing both sides by 2:
x = 36.5
Therefore, the measure of each angle is (x+17) degrees, which is 36.5 + 17 = 53.5 degrees, and x degrees, which is 36.5 degrees.