Answer:
36° and 54°
Step-by-step explanation:
We are given that one of the small angles of a right angled triangle is 18 less than twice the measure of the other small angle.
We are to find the measure of both angles.
Assuming [tex]x[/tex] to be the other small angle, 8 less than twice the measure of the other small angle = [tex]2x-18[/tex].
Summing all three angles up ti get:
[tex]x+(2x-18)+90=180[/tex]
[tex]3x=180-90+18[/tex]
[tex]3x=108[/tex]
[tex]x=\frac{108}{3}[/tex]
x = 36°
So other angle will be [tex]2(36)-18=[/tex] 54°.
Answer:
36° and 54°
Step-by-step explanation:
let x be one of the smaller angles, then the other smaller angle is 2x - 18 ( 18 less than twice the other )
Since it is a right triangle then the sum of the 2 smaller angles equals 90, so
x + 2x - 18 = 90
3x - 18 = 90 ( add 18 to both sides )
3x = 108 ( divide both sides by 3 )
x = 36
One angle = 36°
the other angle = (2 × 36) - 18 = 72 = 18 = 54°
